Question

What is the square root of $14400$?

Answer 1

$=120$

$\sqrt{14400}$

We prime factorise the number first

$\sqrt{14400}=\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 3\times 3\times 5\times 5}$

$=\sqrt{2^6\times 3^2\times 5^2}$

$=(2^6\times 3^2\times 5^2{)}^{\frac{1}{2}}$

$=2^3\times 3\times 5$

$=120$