Question

Simplifique os radicais

Answer 1

a)

$\sqrt[4]{7 {}^{6} } = 7 {}^{ \frac{6}{4} } = 7 {}^{ \frac{6 \div 2}{4 \div 2} } = 7 {}^{ \frac{3}{2} } = \sqrt[2]{7 {}^{3} } = \sqrt{343}$

b)

$\sqrt[9]{5 {}^{6} } = 5 {}^{ \frac{6}{9} } = 5 {}^{ \frac{2}{3} } = \sqrt[3]{5 {}^{2} } = \sqrt[3]{25}$

c)

$\sqrt[10]{2 {}^{15} } = 2 {}^{ \frac{15}{10} } = 2 {}^{ \frac{3}{2} } = \sqrt[2]{2 {}^{3} } = \sqrt{8}$

d)

$\sqrt[8]{3 {}^{2} } = 3 {}^{ \frac{2}{8} } = 3 {}^{ \frac{1}{4} } = \sqrt[4]{3}$