Question

1) Simplifique os radicais:

a) ⁸√5⁴ b) ⁶√3⁴​

Answer 1

a)

$\sqrt[8]{ {5}^{4} } = \sqrt[8 \div 4]{ {5}^{4 \div 4} } = \sqrt{5}$

b)

$\sqrt[6]{ {3}^{4} } = \sqrt[3]{9}$

Answer 2

Resposta:

Olá bom dia.

Utilize a  propriedade dos radicais:

$\sqrt[n]{a^m} = a^{\frac{m}{n}}$

a) $\sqrt[8]{5^4} =5^{\frac{4}{8} } =5^{\frac{1}{2} } = \sqrt{5}$

b) $\sqrt[6]{3^4} =3^{\frac{4}{6} } =3^{\frac{2}{3} } = \sqrt[3]{3^2} =\sqrt[3]{9}$