# How do you simplify sqrt(9200)?

Apr 19, 2018

The final answer is $20 \sqrt{23}$.

#### Explanation:

$9200$ is the product of $400$ and $23$, and the square root of $400$ is $20$, so it should look something like this:

1. $\sqrt{9200}$

2. sqrt(400⋅23)

3. sqrt(400) ⋅ sqrt(23)

4. $20 \sqrt{23}$