# How do you simplify sqrt(75)-sqrt3?

Jul 17, 2016

$4 \sqrt{3}$

#### Explanation:

Write 75 as the product of its prime factors, then we know what we are working with.

$75 = 5 \times 5 \times 3 = {5}^{2} \times 3$

$\sqrt{75} - \sqrt{3}$

=$\sqrt{{5}^{2} \times 3} - \sqrt{3} \text{ find any possible roots}$

=$5 \sqrt{3} - 1 \sqrt{3} = 4 \sqrt{3} \text{ we have like terms}$