Question

Find the square root of 15876.

Answer 1

$15876=2\times 3\times 3\times 7\times 2\times 3\times 3\times 7=2^2\times 3^4\times 7^2$

$\sqrt{15876}=\sqrt{2^2\times 3^4\times 7^2}$

$=2\times 7\times 3^2$

$=2\times 7\times 9$

$=126$

$\therefore \sqrt{15876}=126$