Question

calcule cada raiz decomponho os radicandos em fatores primos

a)∛1331

b)∛216

c)∛64

d)√1024

e)∛1728

Answer 1

$a) \sqrt[3]{1331} \to \sqrt[3]{ 11^{3} } \to 11\\\\\\\\ b) \sqrt[3]{216} \to \sqrt[3]{ 2^{3} * 3^{3} } \to 2*3\to 6\\\\\\\\ c) \sqrt[3]{64} \to \sqrt[3]{ 2^{3} * 2^{3} } \to 2*2\to 4\\\\\\\\ d) \sqrt{1024}\to 32, pois, \sqrt{ 2^{2} * 2^{2} * 2^{2} * 2^{2} * 2^{2} *} \to 2*2*2*2*2 \to32\\\\\\\\ e)\sqrt[3]{1728} \to \sqrt[3]{ 2^{3} * 2^{3} * 3^{3} } \to 2*2*3\to 12$