# How do you simplify the square root of 240?

Mar 18, 2018

Find any perfect squares that are a factor of the number:

$16$ $\text{is a perfect square of}$ $4 , \text{and}$ $240$ $\text{is divisible by 16;}$

$\sqrt{240} \implies$

$\sqrt{16 \cdot 15} \implies$

$4 \cdot \sqrt{15}$

There is no other perfect square in 15, so this is the final answer:

$4 \cdot \sqrt{15}$