Question

Complete de modo a obter igualdades verdadeiras
A) raiz cubica de 1 =?
B) raiz cubica de ? = 2
C) raiz cubica de ? = 20
D) raiz cubica de 0,008 =?
E) raiz cubica de 8 000 000 = ?
F) raiz cubica de 64 = ?
G) raiz cubica de ? = 40
H) raiz cubica de 0,001 = ?

Answer 1

$A) \sqrt[3]{1} = \sqrt[3]{1^{3}} = 1 \\\\ B)\sqrt[3]{x} = 2 \\ 2^{3}=2.2.2=8\\ \sqrt[3]{8} = 2\\\\ C)\sqrt[3]{x} = 20 \\ 20^{3}=20.20.20 = 8000\\ \sqrt[3]{8000} = 20 \\\\ D)\sqrt[3]{0,008} =\\ \sqrt[3]{ \frac{8}{1000} } = \\ \frac{ \sqrt[3]{8}}{ \sqrt[3]{1000}}= \frac{ \sqrt[3]{2^{3}}}{ \sqrt[3]{10^{3}}}=\\ \frac{2}{10}= \frac{1}{5}=0,2\\\\ E)\sqrt[3]{8000000} = \sqrt[3]{200^{3}}=200$

$F)\sqrt[3]{64} = \sqrt[3]{4^{3}}= 4 \\\\ G)\sqrt[3]{x} = 40\\ 40^{3}=64000\\ \sqrt[3]{64000} = 40\\\\ H)\sqrt[3]{0,001} = \sqrt[3]{ \frac{1}{1000}} = \frac{ \sqrt[3]{1} }{ \sqrt[3]{1000} } = \frac{ \sqrt[3]{1^{3}} }{ \sqrt[3]{10^{3}} }= \frac{1}{10}=0,1$

Espero ter ajudado!