Question

evaluate
$\sqrt[3]{8 \times 17 \times 17\times 17 }$​

Answer 1

Answer:

$\sqrt[3]{8\times \:17\times \:17\times \:17}=34$

Step-by-step explanation:

$\sqrt[3]{8\times \:17\times \:17\times \:17}$

$\gray{\mathrm{Multiply\:the\:numbers:}\:8\times \:17\times \:17\times \:17=39304}$

$=\sqrt[3]{39304}$

$\gray{\mathrm{Factor\:the\:number:\:}\:39304=34^3}$

$=\sqrt[3]{34^3}$

$\gray{\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a}$

$\gray{\sqrt[3]{34^3}=34}$

$=34$