# How do you simplify sqrt125?

Mar 13, 2016

$5 \sqrt{5}$

#### Explanation:

Consider the factor tree of 125

Frome this you can observe that 125 is the product of the prime number 5

In that we have $125 = {5}^{2} \times 5$

So$\text{ "sqrt(125)" "=" "sqrt(5^2xx5)" "=" } 5 \sqrt{5}$