# What is the square root of 3 plus square root of 12?

Sep 10, 2015

=color(blue)(3sqrt3

#### Explanation:

We can simplify $\sqrt{12}$ by prime factorisation :

sqrt12 = sqrt(3*2^2) = color(blue)(2sqrt3

The expression now becomes:
sqrt 3+sqrt12 = sqrt3 + color(blue)(2sqrt3

=color(blue)(3sqrt3