Question

Simplifique os radicais

Answer 1

Resposta:

a)$\sqrt[9]{5^6}$$=\left(5^6\right)^{\frac{1}{9}}$$=5^{6\cdot \frac{1}{9}}$$=$$6\cdot \frac{1}{9}=\frac{2}{3}=5^{\frac{2}{3}}$

b)$\sqrt[18]{3^{20}}$$=\sqrt[18]{3^{18}\cdot \:3^2}$$=\sqrt[18]{3^{18}}\sqrt[18]{3^2}$$=3\sqrt[18]{3^2}$$=3\sqrt[9]{3}$

c)$\sqrt[6]{113}$$=2.19876\dots$

d)$\sqrt[18]{72}$$=1.26819\dots$

Explicação passo-a-passo:

Espero ter ajudado!!