Question

Olhem o exemplo da imagem e me ajudem com essa atividade POR FAVOR $\sqrt[5]{192}$ $\sqrt{45}$ $\sqrt{300}$ $\sqrt[3]{54}$ $\sqrt[3]{- 125}$ $\sqrt{500}$ $\sqrt{1}$ $\sqrt[6]{128}$ $\sqrt{36}$ $\sqrt{270}$ $\sqrt[4]{176}$ $\sqrt{121}$ $\sqrt{144}$ $\sqrt[3]{8}$

Answer 1

Resposta:

ver explicação

Explicação passo-a-passo:

$\sqrt[5]{192} =\sqrt[5]{2^{5} .6} =\sqrt[5]{2^{5}}.\sqrt[5]{6} =2.\sqrt[5]{6}$

$\sqrt{45} =\sqrt{9.5} =\sqrt{3^{2} .5} =3\sqrt{5}$

$\sqrt{300} =\sqrt{4.25.3} =\sqrt{4} .\sqrt{25} .\sqrt{3} =2.5.\sqrt{3} =10.\sqrt{3}$

$\sqrt[3]{54} =\sqrt[3]{27.2} =\sqrt[3]{3^{3}.2 } =\sqrt[3]{3^{3}}.\sqrt[3]{2} = 3.\sqrt[3]{2}$

$\sqrt[3]{-125} =\sqrt[3]{(-5)^{3} } =-5$

$\sqrt{500} =\sqrt{100.5} =\sqrt{100} .\sqrt{5} =\sqrt{10^{2}}.\sqrt{5}= 10.\sqrt{5}$

$\sqrt{1} =\sqrt{1^{2} } =1$

$\sqrt[6]{128} =\sqrt[6]{64.2} =\sqrt[6]{2^{6} .2} =\sqrt[6]{2^{6} } .\sqrt[6]{2} =2.\sqrt[6]{2}$

$\sqrt{36} =\sqrt{6^{2} } =6$

$\sqrt{270} =\sqrt{9.30} =\sqrt{3^{2}.30 } =3.\sqrt{30}$

$\sqrt[4]{176} =\sqrt[4]{16.11} =\sqrt[4]{2^{4} .11} =\sqrt[4]{2^{4} } .\sqrt[4]{11}=2.\sqrt[4]{11}$

$\sqrt{121} =\sqrt{11^{2} } =11$

$\sqrt{144} =\sqrt{12^{2} } =12$

$\sqrt[3]{8} =\sqrt[3]{2^{3} } =2$