# Question #0a6b8

##### 1 Answer
Nov 23, 2016

Find the factors and group them in two sets with the same integers in both sets. The product of either set will be the square root; in this case: $75$.

#### Explanation:

$\sqrt{5625}$

By a process of simple division, we can determine the factors.

$5625 \div 5 = 1125$

$1125 \div 5 = 225$

$225 \div 5 = 45$

$45 \div 5 = 9$

$9 \div 3 = 3$

$3 \div 3 = 1$

So we have two sets of factors: $\left(5 \times 5 \times 3\right)$ and $\left(5 \times 5 \times 3\right)$

The product of either set is $75$, the square root of $5625$.