Question

evaluate :
$\sqrt[3]{1372} \times \sqrt[3]{1458}$
please tell fast ​

Answer 1

Answer:

$\mathrm{Simplify}\:\sqrt[3]{1372}\times \sqrt[3]{1458}:\quad 126$

Step-by-step explanation:

$\sqrt[3]{1372}\sqrt[3]{1458}$

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

$\gray{\sqrt[3]{1372}\sqrt[3]{1458}=\sqrt[3]{1372\times \:1458}}$

$=\sqrt[3]{1372\times \:1458}$

$\gray{\mathrm{Multiply\:the\:numbers:}\:1372\times \:1458=2000376}$

$=\sqrt[3]{2000376}$

$\gray{\mathrm{Factor\:the\:number:\:}\:2000376=126^3}$

$=\sqrt[3]{126^3}$

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

$\gray{\sqrt[3]{126^3}=126}$

$=126$