Question

Resolva as seguintes raízes abaixo a) √64 b)³√2401 c) √1331 d) ⁴√128 e)√343 f)√81 g)³√625

Answer 1

Oie, Td Bom?!

a)

$\sqrt{64} = \sqrt{8 {}^{2} } = 8$

b)

$\sqrt[3]{2401} = \sqrt[3]{7 {}^{3} \: . \: 7} = \sqrt[3]{7 {}^{3} } \sqrt[3]{7} = 7 \sqrt[3]{7}$

c)

$\sqrt{1331} = \sqrt{11 {}^{2} \: . \: 11 } = \sqrt{11 {}^{2} } \sqrt{11} = 11 \sqrt{11}$

d)

$\sqrt[4]{128} = \sqrt[4]{2 {}^{4} \: . \: 8} = \sqrt[4]{2 {}^{4} } \sqrt[4]{8} = 2 \sqrt[4]{8}$

e)

$\sqrt{343} = \sqrt{7 {}^{2} \: . \: 7 } = \sqrt{7 {}^{2} } \sqrt{7} = 7 \sqrt{7}$

f)

$\sqrt{81} = \sqrt{9 {}^{2} } = 9$

g)

$\sqrt[3]{625} = \sqrt[3]{5 {}^{3} \: . \: 5} = \sqrt[3]{5 {}^{3} } \sqrt[3]{5} = 5 \sqrt[3]{5}$

Att. Makaveli1996