Question

Simplifique as raízes abaixo, utilizando as propriedades dos radicais:

Answer 1

Resposta:

a) $\sqrt{7^2}$ = $7^{2:2}$ = 7¹ = 7

b)$\sqrt[3]{5^6}$ = $5^{6:3}$ = 5²

c)$\sqrt[4]{16.81}$ = $\sqrt[4]{2^4.3^4}$ = $2^{4:4}$ · $3^{4:4}$ = 2 · 3

d)$\sqrt[5]{(3/2)^1^5}$ = $(3/2)^{15:3}$ = $(3/2)^{5}$

e) $\sqrt[3]{\sqrt{64}}$ = $\sqrt[3.2]{64}$ = $\sqrt[6]{64}$ = $\sqrt[6]{2^{6} }$ = $2^{6:6}$ = $2^{1}$ = 2