Question

Aplique a propriedade da raiz de um produto e calcule( não consegui digitar tudo)

Answer 1

Explicação passo-a-passo:

A

$\sqrt{4 \times 36}$

$\sqrt{144}$

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

$12$

B

$\sqrt{9 \times 100}$

$\sqrt{900}$

$\sqrt{30 {}^{2} }$

$30$

C

$\sqrt[3]{8 \times 8}$

$\sqrt[3]{64}$

$\sqrt[3]{4 {}^{3} }$

$4$

D

$\sqrt[3]{27 \times 100}$

$\sqrt[3]{27000}$

$\sqrt[3]{3 {}^{3} \times 100}$

$\sqrt[3]{3 {}^{3} } \sqrt[3]{100}$

$3 \sqrt[3]{100}$

E

$\sqrt{2 {}^{2} \times 5 {}^{2} }$

$\sqrt{4 \times 25}$

$\sqrt{100}$

$\sqrt{10 {}^{2} }$

$10$

F

$\sqrt[4]{2 {}^{8} \times 5 {}^{4} }$

$\sqrt[4]{256 \times 625}$

$\sqrt[4]{160000}$

$\sqrt[4]{20 {}^{4} }$

$20$

Answer 2

Oie, tudo bom?

a)

$= \sqrt{4 \: . \: 36} \\ = \sqrt{4} \sqrt{36} \\ = \sqrt{2 {}^{2} } \sqrt{6 {}^{2} } \\ = 2 \: . \: 6 \\ \boxed{ = 12}$

b)

$= \sqrt{9 \: . \: 100} \\ = \sqrt{9} \sqrt{100} \\ = \sqrt{3 {}^{2} } \sqrt{10 {}^{2} } \\ = 3 \: . \: 10 \\ \boxed{ = 30}$

c)

$= \sqrt[3]{8 \: . \: 8} \\ = \sqrt[3]{8} \sqrt[3]{8} \\ = \sqrt[3]{2 {}^{3} } \sqrt[3]{2 {}^{3} } \\ = 2 \: . \: 2 \\ \boxed{ = 4}$

d)

$= \sqrt[3]{27 \: . \: 1000} \\ \sqrt[3]{27} \sqrt[3]{1000} \\ 3 \sqrt[3]{3 {}^{3} } \sqrt[3]{10 {}^{3} } \\ = 3 \: . \: 10 \\ \boxed{ = 30}$

e)

$= \sqrt{2 {}^{2} \: . \: 5 {}^{2} } \\ = \sqrt{2 {}^{2} } \sqrt{5 {}^{2} } \\ = 2 \: . \: 5 \\ \boxed{ = 10}$

f)

$= \sqrt[4]{2 {}^{8} \: . \: 5 {}^{4} } \\ = \sqrt[4]{2 {}^{8} } \sqrt[4]{5 {}^{4} } \\ = 2 {}^{2} \: . \: 5 \\ = 4 \: . \: 5 \\ \boxed{ = 20}$

Att. NLE Top Shotta