# How do you simplify 4sqrt180?

May 31, 2016

$24 \sqrt{5}$

#### Explanation:

You need to find all the factors of $180$. You can then identify those that are themselves square and can therefore be taken outside the square root.

$4 \sqrt{180} = 4 \sqrt{9 \cdot 4 \cdot 5}$

$\therefore = 4 \cdot 3 \cdot 2 \sqrt{5}$

$= 24 \sqrt{5}$