# What is the square root of 31?

Jul 27, 2018

It is 5.57 (approximately)

#### Explanation:

$\sqrt{31} = 5.567764363$ numerically.

You can accept that it is $5.57$

Jul 28, 2018

$\sqrt{31} \approx 5.568$

#### Explanation:

Since $31$ is a prime number, its square root doesn't evaluate to an integer. We can approximate it with the next closest perfect squares

$\sqrt{25} \le \sqrt{31} \le \sqrt{36}$ or

$5 \le \sqrt{31} \le 6$

We know the principal root of $31$ is between $5$ and $6$, but we can get a better estimate with the use of a calculator. We get

$\sqrt{31} \approx 5.568$

Hope this helps!