# How do you simplify sqrt(48)?

##### 1 Answer
Mar 7, 2016

$4 \sqrt{3}$

#### Explanation:

To simplify $\sqrt{48}$, we should first factorize $48$. As $2$ is one factor, dividing 48 by 2, we get 24, which has factors 2 again. This way we go on till we get all the factors.

Hence $\sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3}$.

As $2$ has appeared four times, square root of $2 \times 2 \times 2 \times 2$ will be just $2 \times 2$. Note we cannot take square root of $3$ as it has not appeared in pair.

Hence, $\sqrt{48} = 2 \times 2 \times \sqrt{3}$ or $4 \sqrt{3}$