Question

Simplifique os seguintes radicais:

Answer 1

$a) \\ \sqrt[8]{2^4} = 2^{ \frac{4}{8} } = 2^{ \frac{1}{2} } = \sqrt{2} \\ \\ b) \\ \sqrt[9]{27} = \sqrt[9]{3^3} = 3^{ \frac{3}{9} } = 3^{ \frac{1}{3} } = \sqrt[3]{3} \\ \\ c) \\ \sqrt[10]{ x^{2a+2} } = x^{ \frac{2a+2}{10} } = x^{ \frac{2(a+1)}{10} } = x^{ \frac{a+1}{5} } = \sqrt[5]{ x^{a+1} } \\ \\ d) \\ \\ \sqrt[8]{ 5^{4x} } = 5^{ \frac{4x}{8} } = 5^{ \frac{x}{2} } = \sqrt{5^x} \\ \\ e) \\ \sqrt[6]{625} = \sqrt[6]{5^4} = 5^{ \frac{4}{6} } = 5^{ \frac{2}{3} } = \sqrt[3]{5^2} = \sqrt[3]{25}$