# How do you simplify 2sqrt3-sqrt27?

Mar 30, 2018

$- \sqrt{3}$

#### Explanation:

We can see if the numbers in the square roots can be simplified with factoring.
$2 \sqrt{3} - \sqrt{27}$

We know that 3 is prime, so it cannot be simplified. 27 can be factored
$27 = {3}^{3} = {3}^{2} \cdot 3$

which means
$2 \sqrt{3} - \sqrt{{3}^{2} \cdot 3} = 2 \sqrt{3} - \sqrt{{3}^{2}} \sqrt{3} = 2 \sqrt{3} - 3 \sqrt{3} = - \sqrt{3}$