Question

simplifique os radicais
a) ⁹√5⁶
b) ¹⁵ √3²⁰
c) ⁶√11³
d) ¹⁸√7²​

Answer 1

Explicação passo-a-passo:

a) $\sf \sqrt[9]{5^6}=\sqrt[9\div3]{5^{6\div3}}=\red{\sqrt[3]{5^2}}$

b) $\sf \sqrt[15]{3^{20}}=\sqrt[15\div5]{3^{20\div5}}=\red{\sqrt[3]{3^4}}$

c) $\sf \sqrt[6]{11^3}=\sqrt[6\div3]{11^{3\div3}}=\red{\sqrt[2]{11^1}}$

d) $\sf \sqrt[18]{7^2}=\sqrt[18\div2]{7^{2\div2}}=\red{\sqrt[9]{7^1}}$