Question

Find the cube root of 15625?

Answer 1

15625 =5^6

cube root of 15625 = (5^6)^1/3

= 5^6/3

=5^2

=25

Answer 2

$\rule{200}3$

$\Huge{\red{\underline{\textsf{Answer}}}}$

$</p><p>\begin{array}{c | c}</p><p></p><p>5 & 15625 \\</p><p></p><p>\cline{2-2} 5 & 3125 \\</p><p></p><p>\cline{2-2} 5 & 625 \\</p><p></p><p>\cline{2-2} 5 & 125 \\</p><p></p><p>\cline{2-2} 5 & 25 \\</p><p></p><p>\cline{2-2} 5 & 5 \\</p><p></p><p></p><p>\cline{2-2} & 1</p><p></p><p>\end{array}$

$\rule{200}3$

$\leadsto$ $\sf 15625 = 5 \times 5\times 5 \times 5\times 5\times 5$

$\leadsto$ $\displaystyle \sqrt[3]{15625}$ = $\sf 5 \times 5$

$\leadsto$ $\sf 5$

$\rule{200}3$

$\textbf{Thus, \ cube \ root \ of \ 15625 \ is \ 25 }$

$\rule{200}3$