Question

Aplique a propriedade conveniente:

Answer 1

$a)~~\displaystyle \sqrt{\frac{25}{4}}=\frac{\sqrt{25}}{\sqrt4}=\frac{5}{2}$

$\displaystyle b)~~\sqrt[4]{\frac{3^2}{5}}=\frac{\sqrt[4]{3^2}}{\sqrt[4]{5}}=\frac{3^{\frac{2}{4}}}{\sqrt[4]{5}}=\frac{\sqrt{3}}{\sqrt[4]{5}}$

$\displaystyle c)~~\sqrt{\frac{9\cdot16}{81}}=\frac{\sqrt9\cdot\sqrt{16}}{\sqrt{81}}=\frac{3\cdot4}{9}=\frac{12}{9}$

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