Question

quem souber alguma dessa irei muito agradecer ​

Answer 1

Resposta/Explicação passo a passo:

Dica: Fatore o número dentro da raiz.  E responda sua atividade!!!!!!!!

a) $\sqrt[3]{1}$

Fatorando 1:

$1 = 1. 1.1 = 1^{3}$

Logo:

$\sqrt[3]{1^{3} } = 1$

b) $\sqrt[3]{125}$

$125 = 5.5.5 = 5^{3} \\\sqrt[3]{5^{3} } = 5$

c)$\sqrt[3]{64}$

$64 = 2.2.2.2.2.2 = 2^{6} \\\sqrt[3]{2^{6} } = 2^{2} = 4$

d)$\sqrt[3]{216}$

$216 = 2.2.2.3.3.3 = 2^{3} . 3^{3} \\\sqrt[3]{2^{3} . 3^{3}} = 2.3 = 6$

e)$\sqrt[3]{1000}$

$1000 = 2.2.2.5.5.5 = 2^{3} . 5^{3}\\\sqrt[3]{2^{3} . 5^{3}} = 2.5 = 10$

f)$\sqrt[3]{343}$

$343 = 7.7.7 = 7^{3}\\\sqrt[3]{7^{3} }$

g)$\sqrt[3]{0}$

$0 = 0.0.0 = 0^{3} \\\sqrt[3]{0^{3}} = 0$

h)$\sqrt[4]{16}$

$16 = 2.2.2.2 = 2^{4} \\\sqrt[4]{2^{4} } = 2$

i)$\sqrt[5]{32}$

$32 = 2.2.2.2.2 = 2^{5} \\\sqrt[5]{2^{5} } = 2$

j)$\sqrt[4]{625}$

$625 = 5.5.5.5 = 5^{4} \\\sqrt[4]{5^{4} } = 5$

k)$\sqrt[7]{128}$

$128 = 2.2.2.2.2.2.2 = 2^{7} \\\sqrt[7]{ 2^{7} } = 2$

l)$\sqrt[8]{256}$

$256 = 2.2.2.2.2.2.2.2 = 2^{8} \\\sqrt[8]{ 2^{8} } = 2$

m)$\sqrt[6]{729}$

$729 = 3.3.3.3.3.3 = 3^{6} \\\sqrt[6]{3^{6} } = 3$

n)$\sqrt[4]{10000}$

$10000 = 10.10.10.10 = 10^{4} \\\sqrt[4]{10^{4} } = 10$

o)$\sqrt[3]{512}$

$512 = 8 . 8 .8 = 8^{3} \\\sqrt[3]{8^{3}} = 8$

p)$\sqrt[9]{0}$

$0.0.0.0.0.0.0.0.0 = 0^{9} \\\sqrt[9]{0^{9} } = 0$