{"id":2429,"date":"2024-11-30T05:24:49","date_gmt":"2024-11-30T05:24:49","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=2429"},"modified":"2024-12-08T21:27:42","modified_gmt":"2024-12-08T21:27:42","slug":"2-1-%cf%84%ce%b5%cf%84%cf%81%ce%b1%ce%b3%cf%89%ce%bd%ce%b9%ce%ba%ce%ae-%cf%81%ce%af%ce%b6%ce%b1-%ce%b8%ce%b5%cf%84%ce%b9%ce%ba%ce%bf%cf%8d-%ce%b1%cf%81%ce%b9%ce%b8%ce%bc%ce%bf%cf%8d","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=2429","title":{"rendered":"2.1 \u03a4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd"},"content":{"rendered":"\n\n\n
\n

\u0391\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 x. \u0391\u03bd \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd \u03c4\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \"16cm^2\", \u03c0\u03c9\u03c2 \u03b8\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03c4\u03bf\u03c5;<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n\n\n

\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 \u03b1\u03c0\u03cc \u03c4\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd \u03c4\u03bf\u03c5, \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c0\u03bf\u03c5 \u03cc\u03c4\u03b1\u03bd \u03c5\u03c8\u03c9\u03b8\u03b5\u03af \u03c3\u03c4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03b4\u03af\u03bd\u03b5\u03b9 \u03c4\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd. \u0394\u03b7\u03bb\u03b1\u03b4\u03ae, \u03c8\u03ac\u03c7\u03bd\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc x \u03c0\u03bf\u03c5 \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7<\/p>\n\n\n\n

\"x^2 = 16\"<\/p>\n\n\n\n

\u039f \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \"x = 4\" \u03b1\u03c6\u03bf\u03cd \"4^2 = 4 \cdot 4 = 16.\"<\/p>\n\n\n\n

\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2, \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03c4\u03bf\u03c5 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \"4 cm\"<\/p>\n\n\n\n

\u03a4\u03bf \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03bc\u03b1\u03c2 \u03bf\u03b4\u03b7\u03b3\u03b5\u03af \u03bd\u03b1 \u03b5\u03b9\u03c3\u03ac\u03b3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03b7\u03c2 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae\u03c2 \u03c1\u03af\u03b6\u03b1\u03c2<\/strong>. <\/p>\n<\/div><\/div>\n\n\n

\n
\n\t\t\t
\n\t\t\t

<\/i>\u00a0 \u0398\u03b5\u03c9\u03c1\u03af\u03b1<\/em><\/strong><\/h4>\n\t\t\t
<\/span><\/div>\n\t\t<\/div>\n\t\t\t
\n\n

\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03b7 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd;<\/strong><\/p>\n\n\n\n

\u0397 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03b7 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd<\/strong> \u03b1<\/em> (\u03c3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \"\\sqrt{\\alpha}\") \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03bc\u03b7 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 <\/strong> \u03c0\u03bf\u03c5 \u03cc\u03c4\u03b1\u03bd \u03c5\u03c8\u03c9\u03b8\u03b5\u03af \u03c3\u03c4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03bc\u03b1\u03c2 \u03b4\u03af\u03bd\u03b5\u03b9 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03b1<\/em>.<\/p>\n\n\n

\n
\"\"<\/figure>\n<\/div>\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n

\u0391\u03c0\u03cc \u03c4\u03bf\u03bd \u03bf\u03c1\u03b9\u03c3\u03bc\u03cc \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03cc\u03c4\u03b9<\/p>\n\n\n\n

    \n
  • \"\sqrt{0} = 0,\"  \u03b1\u03c6\u03bf\u03cd \"0^2 = 0.\"<\/li>\n\n\n\n
  • \"\sqrt{1} = 1,\"  \u03b1\u03c6\u03bf\u03cd \"1^2 = 1\".<\/li>\n<\/ul>\n\n\n\n

    \u0391\u03c2 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b5\u03c1\u03b9\u03ba\u03ac \u03b1\u03ba\u03cc\u03bc\u03b7 \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1<\/p>\n\n\n\n

      \n
    • \"\sqrt{9}=3\", \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \"3^2 = 3 \cdot 3 = 9\".<\/li>\n\n\n\n
    • \"\sqrt{16}=4\", \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \"4^2 = 4 \cdot 4 = 16\".<\/li>\n\n\n\n
    • \"\sqrt{\dfrac{9}{16}}=\dfrac{3}{4}\", \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \"\left(\dfrac{3}{4}\right)^2 =\dfrac{3}{4}\cdot =\dfrac{3}{4} = =\dfrac{9}{16}\".<\/li>\n\n\n\n
    • \"\sqrt{0,25}=0,5\", \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \"0,5^2 = 0.,5 \cdot 0,5 = 0,25\".<\/li>\n<\/ul>\n\n\n
      \n
      \n\t\t\t
      \n\t\t\t

      <\/i> <\/em>Let’s Practise<\/strong><\/h4>\n\t\t\t
      <\/span><\/div>\n\t\t<\/div>\n\t\t\t
      \n\n

      \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 1<\/em><\/strong><\/p>\n\n\n\n

      \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ad\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2:<\/p>\n\n\n\n

      \u03b1) \"\\sqrt{25}\"<\/td>\u03c3\u03c4) \"\\sqrt{100}\"<\/td><\/tr>
      \u03b2)<\/strong> \"\\sqrt{81}\"<\/td>\u03b6) \"\\sqrt{225}\"<\/td><\/tr>
      \u03b3) \"\\sqrt{36}\"<\/td>\u03b7) \"\\sqrt{289}\"<\/td><\/tr>
      \u03b4) \"\\sqrt{121}\"<\/td>\u03b8) \"\\sqrt{144}\"<\/td><\/tr>
      \u03b5) \"\\sqrt{196}\"<\/td>\u03b9) \"\\sqrt{169}\"<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

      \u00a0\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 2<\/em><\/strong><\/p>\n\n\n\n

      \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ad\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2:<\/p>\n\n\n\n

      \u03b1) \"\\sqrt{\\dfrac{9}{16}}\"<\/td>\u03b5) \"\\sqrt{\\dfrac{16}{25}}\"<\/td><\/tr>
      \u03b2) \"\\sqrt{\\dfrac{49}{100}}\"<\/td>\u03c3\u03c4) \"\\sqrt{\\dfrac{256}{625}}\"
      <\/td><\/tr>
      \u03b3) \"\\sqrt{\\dfrac{1}{4}}\"<\/td>\u03b6) \"\\sqrt{\\dfrac{144}{121}}\"<\/td><\/tr>
      \u03b4) \"\\sqrt{\\dfrac{64}{9}}\"<\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

      \u00a0\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 3<\/em><\/strong><\/p>\n\n\n\n

      \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ad\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2:<\/p>\n\n\n\n

      \u03b1) \"\\sqrt{0,01}\"<\/td>\u03b6) \"\\sqrt{0,0625}\"<\/td><\/tr>
      \u03b2) \"\\sqrt{0,04}\"<\/td>\u03b7) \"\\sqrt{0,0025}\"<\/td><\/tr>
      \u03b3) \"\\sqrt{1,44}\"<\/td>\u03b8) \"\\sqrt{2,56}\"<\/td><\/tr>
      \u03b4) \"\\sqrt{0,16}\"<\/td>\u03b9) \"\\sqrt{0,0144}\"<\/td><\/tr>
      \u03b5) \"\\sqrt{0,09}\"<\/td>\u03ba) \"\\sqrt{0,0004}\"<\/td><\/tr>
      \u03c3\u03c4) \"\\sqrt{2,25}\"<\/td>\u03bb) \"\\sqrt{0,0049}\"<\/td><\/tr><\/tbody><\/table><\/figure>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n
      \n
      \n\t\t\t
      \n\t\t\t

      <\/i>\u00a0 \u0398\u03b5\u03c9\u03c1\u03af\u03b1<\/em><\/strong><\/h4>\n\t\t\t
      <\/span><\/div>\n\t\t<\/div>\n\t\t\t
      \n\n

      \u0392\u03b1\u03c3\u03b9\u03ba\u03ad\u03c2 \u0399\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03a4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae\u03c2 \u03a1\u03af\u03b6\u03b1\u03c2<\/strong><\/p>\n\n\n\n

      \u0399\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 1: <\/strong>\u0397 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03bc\u03b7 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03ac\u03bd\u03c4\u03b1 \u03ad\u03bd\u03b1\u03c2 \u03bc\u03b7 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03bd \u03c5\u03c8\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c5\u03c4\u03cc\u03bd \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc (\u03c4\u03b7\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1) \u03c3\u03c4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf, \u03b8\u03b1 \u03c0\u03ac\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03cc \u03bc\u03b1\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc. \u0394\u03b7\u03bb\u03b1\u03b4\u03ae, <\/p>\n\n\n\n

      \u0391\u03bd \"\\sqrt{\\alpha}=x\" \u03bc\u03b5 \"\\alpha\\geq0\", \u03c4\u03cc\u03c4\u03b5 \"x \u03ba\u03b1\u03b9 \"x^2.<\/p>\n\n\n\n

      \u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9, \u03b1\u03bd \u03b1 = 9, \u03c4\u03cc\u03c4\u03b5 \u03b7 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5 \u03c1\u03af\u03b6\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 x = 3 (\u03b3\u03b9\u03b1\u03c4\u03af 3\u00b2 = 9), \u03ba\u03b1\u03b9 \u03b2\u03bb\u03ad\u03c0\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9:<\/p>\n\n\n\n

        \n
      • \"\\sqrt{\\alpha} (\"\\sqrt{9})<\/li>\n\n\n\n
      • \"x (\"3)<\/li>\n\n\n\n
      • \"x^2 (\"3^2)<\/li>\n<\/ul>\n\n\n
        <\/div><\/div><\/div>\n\n\n

        \u0399\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 2:<\/strong> H \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03ac\u03bd\u03c4\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf\u03c2 \u03ae \u03af\u03c3\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03bc\u03b7\u03b4\u03b5\u03bd\u03cc\u03c2<\/p>\n\n\n\n

        \u0391\u03bd \"\\alpha\\geq0\"<\/em> , \u03c4\u03cc\u03c4\u03b5 \"\\sqrt{\\alpha}\\geq0\".<\/p>\n\n\n

        <\/div><\/div><\/div>\n\n\n

        \u0399\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 3:<\/strong> \u03a4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf “\u03ad\u03be\u03c9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03c1\u03af\u03b6\u03b1”. \u0391\u03bd \"\\alpha\\geq0\", \u03c4\u03cc\u03c4\u03b5 \"\\left(\\sqrt{\\alpha}\\right)^2 (\u03c4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03ba\u03b1\u03b9 \u03b7 \u03c1\u03af\u03b6\u03b1 \u03b1\u03c0\u03bb\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9).<\/p>\n\n\n\n

        \u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9, \u03b3\u03b9\u03b1 \u03b1 = 9, \u03b7 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1 \u03c4\u03bf\u03c5 9 \u03b5\u03af\u03bd\u03b1\u03b9 3 (\"\\sqrt{9}).<\/p>\n\n\n\n

        \u03a3\u03cd\u03bc\u03c6\u03c9\u03bd\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u0399\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 3, \u03b1\u03bd \u03c5\u03c8\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \"\\sqrt{9}\" \u03c3\u03c4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf, \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03ac\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf 9. \u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9, <\/p>\n\n\n\n

        \"(\\sqrt{9})^2<\/p>\n\n\n\n

        \u0391\u03c0\u03cc \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9 \u03cc\u03c4\u03b9 \"(\\sqrt{176})^2<\/p>\n\n\n

        <\/div><\/div><\/div>\n\n\n

        \u0399\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 4:<\/strong> \u03a4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf “\u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03b7 \u03c1\u03af\u03b6\u03b1”. \u0399\u03c3\u03c7\u03cd\u03b5\u03b9 \"\\sqrt{\\alpha^2} (\u03c4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03ba\u03b1\u03b9 \u03b7 \u03c1\u03af\u03b6\u03b1 \u03b1\u03c0\u03bb\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9, \u03b1\u03bb\u03bb\u03ac \u03b2\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c0\u03cc\u03bb\u03c5\u03c4\u03b7 \u03c4\u03b9\u03bc\u03ae \u03c3\u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1).<\/p>\n\n\n\n

        \u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, , <\/p>

        \u00a0 <\/span> \u00a0 <\/span>\"\\[\\sqrt{(-5)^2}<\/p> \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \n\n\n\n

        <\/p>

        \u00a0 <\/span> \u00a0 <\/span>\"\\[\\sqrt{(-5)^2}<\/p>\n\n\n\n

        \u0397 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03c0\u03b1\u03bb\u03b7\u03b8\u03b5\u03cd\u03b5\u03b9 \u03c4\u03bf\u03bd \u03bf\u03c1\u03b9\u03c3\u03bc\u03cc, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03cc\u03c4\u03b9 \u03b7 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1 \u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03ad\u03bd\u03b1\u03c2 \u03bc\u03b7 \u03b1\u03c1\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc\u03c2<\/strong>.<\/em><\/p>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n

        \n
        \n\t\t\t
        \n\t\t\t

        <\/i> <\/em>Let’s Practise<\/strong><\/h4>\n\t\t\t
        <\/span><\/div>\n\t\t<\/div>\n\t\t\t
        \n\n

        \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 <\/em><\/strong>4<\/p>\n\n\n\n

        \u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c0\u03b1\u03c1\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03c9\u03bd:<\/p>\n\n\n\n

        \u03b1) \"\\left(\\sqrt{11}\\right)^2\"<\/td><\/tr>
        \u03b2) \"\\left(\\sqrt{8}\\right)^2\"<\/td><\/tr>
        \u03b3) \"\\left(\\sqrt{\\dfrac{3}{5}}\\right)^2\".<\/td><\/tr>
        \u03b4) \"\\sqrt{(-5)^2}\"<\/td><\/tr>
        \u03b5) \"\\sqrt{\\left(-\\dfrac{12}{13}\\right)^2}\"<\/td><\/tr>
        \u03c3\u03c4) \"\\sqrt{(-0.6)^2}\"<\/td><\/tr>
        \u03b6) \"\\sqrt{(-1)^{2024}}\"<\/td><\/tr>
        \u03b7) \"\\sqrt{-(-1)^{1821}}\"<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

        <\/p>\n\n\n\n

        \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 5<\/em><\/strong><\/p>\n\n\n\n

        \u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c0\u03b1\u03c1\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03c9\u03bd:<\/p>\n\n\n\n

        \u03b1)\u00a0 \"A<\/td><\/tr>
        \u03b2) \"B<\/td><\/tr>
        \u03b3) \"\\Gamma<\/td><\/tr>
        \u03b4) \"\\Delta<\/td><\/tr>
        \u03b5) \"\u0395<\/td><\/tr><\/tbody><\/table><\/figure>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n
        \n
        \n\t\t\t
        \n\t\t\t

        <\/i>\u00a0 \u0398\u03b5\u03c9\u03c1\u03af\u03b1<\/em><\/strong><\/h4>\n\t\t\t
        <\/span><\/div>\n\t\t<\/div>\n\t\t\t
        \n\n
          \n
        • \u0399\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 5:<\/strong> (\u0393\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03a1\u03b9\u03b6\u03ce\u03bd) \u0391\u03bd\u00a0\"\\alpha,, \u03c4\u03cc\u03c4\u03b5:

          \u00a0 <\/span> \u00a0 <\/span>\"\\[\\sqrt{\\alpha<\/p><\/li>\n\n\n\n

        • \u0399\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 6: <\/strong>(\u03a0\u03b7\u03bb\u03af\u03ba\u03bf \u03a1\u03b9\u03b6\u03ce\u03bd) \u0391\u03bd\u00a0\"\\alpha, \u03c4\u03cc\u03c4\u03b5:

          \u00a0 <\/span> \u00a0 <\/span>\"\\[\\sqrt{\\dfrac{\\alpha}{\\beta}}<\/p><\/li>\n<\/ul>\n\n\n\n

          \u03a0\u03c1\u03bf\u03c3\u03bf\u03c7\u03ae:<\/strong> \u0397 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 <\/p>

          \u00a0 <\/span> \u00a0 <\/span>\"\\[\\sqrt{\\alpha<\/p> \u03b4\u03b5\u03bd \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9<\/strong> \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u00a0\"\\alpha,.\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n

          \n
          \n\t\t\t
          \n\t\t\t

          <\/i> <\/em>Let’s Practise<\/strong><\/h4>\n\t\t\t
          <\/span><\/div>\n\t\t<\/div>\n\t\t\t
          \n\n

          \u0386\u03c3\u03ba\u03b7\u03c3\u03b7 6<\/em><\/strong><\/p>\n\n\n\n

          \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c0\u03b1\u03c1\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03b9\u03c2, \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b9\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ce\u03bd \u03c1\u03b9\u03b6\u03ce\u03bd:<\/p>\n\n\n\n

          \u03b1) \"\\sqrt{36<\/td><\/tr>
          \u03b2) \"\\sqrt{49<\/td><\/tr>
          \u03b3) \"\\sqrt{81<\/td><\/tr>
          \u03b4) \"\\sqrt{\\dfrac{64}{121}}\"<\/td><\/tr>
          \u03b5) \"\\sqrt{\\dfrac{144}{(-12)^2}}\"<\/td><\/tr>
          \u03c3\u03c4) \"\\sqrt{\\dfrac{25}{100}}\"<\/td><\/tr>
          \u03b6) \"\\sqrt{9<\/td><\/tr>
          \u03b7) \"\\sqrt{\\dfrac{324}{289}}\"<\/td><\/tr>
          \u03b8) \"\\sqrt{\\dfrac{400}{(-5)^2}}\"<\/td><\/tr>
          \u03b9) \"\\sqrt{16<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

          \u00a0 \u00a0\u00a0\u0386\u03c3\u03ba\u03b7\u03c3\u03b7 7<\/em><\/strong><\/p>\n\n\n\n

          \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03c0\u03b1\u03c1\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03b9\u03c2:<\/p>\n\n\n\n

          \u03b1) \"<\/td><\/tr>
          \u03b2) \"\\sqrt{21<\/td><\/tr>
          \u03b3) \"<\/td><\/tr>
          \u03b4) \"\\sqrt{\\sqrt{400}<\/td><\/tr>
          \u03b5) \"\\sqrt{21<\/td><\/tr>
          \u03c3\u03c4) \"\\sqrt{45<\/td><\/tr>
          \u03b6) \"\\sqrt{7<\/td><\/tr>
          \u03b7) \"\\sqrt{59<\/td><\/tr><\/tbody><\/table><\/figure>\n\n<\/div>\n\t\t<\/div>\n<\/div>\n\n\n

          \u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03af\u03b1:<\/strong> \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u0392 \u0393\u03c5\u03bc\u03bd\u03b1\u03c3\u03af\u03bf\u03c5 (\u03a0\u03b1\u03bd\u03b1\u03b3\u03b9\u03ce\u03c4\u03b7\u03c2 \u0392\u03bb\u03ac\u03bc\u03bf\u03c2, \u03a0\u03b1\u03bd\u03b1\u03b3\u03b9\u03ce\u03c4\u03b7\u03c2 \u0394\u03c1\u03bf\u03cd\u03c4\u03c3\u03b1\u03c2, \u0393\u03b5\u03ce\u03c1\u03b3\u03b9\u03bf\u03c2 \u03a0\u03c1\u03ad\u03c3\u03b2\u03b7\u03c2, \u039a\u03c9\u03bd\u03c3\u03c4\u03b1\u03bd\u03c4\u03af\u03bd\u03bf\u03c2 \u03a1\u03b5\u03ba\u03bf\u03cd\u03bc\u03b7\u03c2)\n

          Creative Commons \u0391\u03bd\u03b1\u03c6\u03bf\u03c1\u03ac \u0394\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03bf\u03cd – \u039c\u03b7 \u0395\u03bc\u03c0\u03bf\u03c1\u03b9\u03ba\u03ae \u03a7\u03c1\u03ae\u03c3\u03b7 – \u03a0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03b1 \u0394\u03b9\u03b1\u03bd\u03bf\u03bc\u03ae 4.0 \u0394\u03b9\u03b5\u03b8\u03bd\u03ad\u03c2<\/strong><\/p>\n\"\"<\/p>\n\n\n\n

          <\/p>\n","protected":false},"excerpt":{"rendered":"

          \u0391\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 x. \u0391\u03bd \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd \u03c4\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 $16cm^2$, \u03c0\u03c9\u03c2 \u03b8\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03c4\u03bf\u03c5; \u0393\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03bf\u03c5 \u03b1\u03c0\u03cc \u03c4\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03cc\u03bd \u03c4\u03bf\u03c5, \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31],"tags":[],"class_list":["post-2429","post","type-post","status-publish","format-standard","hentry","category-2--"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=1"},"yoast_head":"\n2.1 \u03a4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03ae \u03c1\u03af\u03b6\u03b1 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd - 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