Question

6-Escreva o radical equivalente a cada potência

Answer 1

Resposta:

a)

$\sqrt[3]{25}$

b)

$7 \sqrt[4]{7}$

c)

$2 \sqrt[8]{128}$

d)

$288 \sqrt{3}$

e)

$\sqrt[3]{6}$

f)

$\sqrt{55}$

Explicação passo-a-passo:

a)

$5 {}^{ \frac{2}{3} }$

$\sqrt[3]{5 {}^{2} }$

$\sqrt[3]{25}$

b)

$7 {}^{ \frac{5}{4} }$

$\sqrt[4]{7 {}^{5} }$

$7 \sqrt[4]{7}$

c)

$8 {}^{ \frac{5}{8} }$

$\sqrt[8]{8 {}^{5} }$

$\sqrt[8]{32768}$

$2 \sqrt[8]{128}$

d)

$12 {}^{ \frac{5}{2} }$

$\sqrt{12 {}^{5} }$

$12 {}^{2} \times \sqrt{12}$

$144 \times 2 \sqrt{3}$

$288 \sqrt{3}$

e)

$36 {}^{ \frac{1}{6} }$

$(6 {}^{2}) {}^{ \frac{1}{6} }$

$6 {}^{ \frac{1}{3} }$

$\sqrt[3]{6}$

f)

$55 {}^{ \frac{1}{2} }$

$\sqrt{55}$