Question

Complete: (1,0 ponto)

a) √(64/625)=

b) √169.81=

c) ∛(216/343=)

d) √36.144=

e) ∜(16/81)=

Answer 1

Explicação passo-a-passo:

a)

$\sf \sqrt{\dfrac{64}{625}}=\dfrac{\sqrt{64}}{\sqrt{625}}=\dfrac{\sqrt{8^2}}{\sqrt{25^2}}=\red{\dfrac{8}{25}}$

b)

$\sf \sqrt{169\cdot81}=\sqrt{169}\cdot\sqrt{81}=13\cdot9=\red{117}$

c)

$\sf \sqrt[3]{\dfrac{216}{343}}=\dfrac{\sqrt[3]{216}}{\sqrt[3]{343}}</p><p>=\dfrac{\sqrt[3]{6^3}}{\sqrt[3]{7^3}}=\red{\dfrac{6}{7}}$

d)

$\sf \sqrt{36\cdot144}=\sqrt{36}\cdot\sqrt{144}=6\cdot12=\red{72}$

e)

$\sf \sqrt[4]{\dfrac{16}{81}}=\dfrac{\sqrt[4]{16}}{\sqrt[4]{81}}=\dfrac{\sqrt[4]{2^4}}{\sqrt[4]{3^4}}=\red{\dfrac{2}{3}}$