Question

quem poder me ajudar​

Answer 1

Explicação passo-a-passo:

a) $\sqrt{49}.\sqrt{36.25}$

   Fatorando o 49, 36 e 25 temos: 49 = 7² ; 36 = 6² ; 25 = 5²

   $\sqrt{7^{2}}.\sqrt{6^{2}.5^{2}}=7.6.5=210$

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b) $\sqrt{13^{2}.20^{2}}=13.20=260$

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c) $\sqrt[5]{3^{2}}.\sqrt[5]{3^{3}}=\sqrt[5]{3^{2+3}}=\sqrt[5]{3^{5}}=3$

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d) $\sqrt[3]{5^{6}}=\sqrt[3]{5^{3}.5^{3}}=5.5=25$

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e) $\sqrt[3]{8.64}.\sqrt{49}$

   Fatorando o 8, 64 e 49 temos: 8 = 2³ ; 64 = $2^{6}$ ; 49 = 7²

   $\sqrt[3]{2^{3}.2^{6}}.\sqrt{7^{2}}=\sqrt[3]{2^{3}.2^{3}.2^{3}}.7=2.2.2.7=56$

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f) $2.\sqrt{2}.\sqrt{18}$

  Fatorando o 18 temos: 18 = 3² . 2

  $2.\sqrt{2}.\sqrt{3^{2}.2}=2.\sqrt{2}.3\sqrt{2}=2.3.\sqrt{2^{2}}=2.3.2=12$