Question

simplifique:
$\sqrt{20}$
${}^3 \sqrt{80} {}$
$\sqrt{108}$
${}^4 \sqrt{32} {}$
$\sqrt{72}$
$\sqrt{600}$
${}^4 \sqrt{96} {?}$
alguém me ajuda​

Answer 1

Resposta:

a)$2\sqrt{5}$

b) $2\sqrt[3]{10}$

c) $6\sqrt{3}$

d) $2\sqrt[4]{2}$

e) $6\sqrt{2}$

f) $10 \sqrt{6}$

g) $2\sqrt[4]{6}$

Answer 2

Resposta:

a) √20

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

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

B) ³√80

${}^{3} \sqrt{2}^{3} \times 10 \\ \\ \\ {}^{3} \sqrt[]{2} {}^{3} \sqrt[3]{10} \\ \\ 2 \sqrt[3]{10}$

${}^{3} \sqrt{2}^{3} \times 10 \\ \\ \\ {}^{3} \sqrt[]{2} {}^{3} \sqrt[3]{10} \\ \\ 2 \sqrt[3]{10}$

C) √108

$\sqrt{108} \\ \\ \sqrt{6 {}^{2} \times 3 } \\ \\ \sqrt{6 {}^{2} } \sqrt{3} \\ \\ 6 \sqrt{3}$

$\sqrt{108} \\ \\ \sqrt{6 {}^{2} \times 3 } \\ \\ \sqrt{6 {}^{2} } \sqrt{3} \\ \\ 6 \sqrt{3}$

D)⁴√32

$\sqrt[4]{2 {}^{5} } \\ \\ \sqrt[4]{2 {}^{4 + 1} } \\ \\ \sqrt[4]{2 {}^{4} \times 2 {}^{1} } \\ \\ \sqrt[4]{2 {}^{4} \times 2 } \\ \\ \sqrt[4]{2 {}^{4} } \sqrt[4]{2} \\ \\ 2 \sqrt[4]{2}$

$\sqrt[4]{2 {}^{5} } \\ \\ \sqrt[4]{2 {}^{4 + 1} } \\ \\ \sqrt[4]{2 {}^{4} \times 2 {}^{1} } \\ \\ \sqrt[4]{2 {}^{4} \times 2 } \\ \\ \sqrt[4]{2 {}^{4} } \sqrt[4]{2} \\ \\ 2 \sqrt[4]{2}$

E)√72

$\sqrt{6 {}^{2} \times 2} \\ \\ \sqrt{6 {}^{2} } \sqrt{2} \\ \\ 6 \sqrt{2}$

F) √600

$\sqrt{10 {}^{2} \times 6 } \\ \\ \sqrt{10 {}^{2} } \sqrt{6} \\ \\ 10 \sqrt{6}$

G) ⁴√96

$\sqrt[4]{2 {}^{4} \times 6} \\ \\ \sqrt[4]{2 {}^{4} } \sqrt[4]{6} \\ \\ \\ 2 \sqrt[4]{6}$

Espero ter ajudado, bons estudos!

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