How do you simplify 4\sqrt{3}+2\sqrt{12}?

1 Answer
May 29, 2018

4sqrt3+2sqrt12=color(blue)(8sqrt3

Explanation:

Simplify:

4sqrt3+2sqrt12

We can only add or subtract numbers with radicals if the radicals are the same.

Prime factorize sqrt12.

4sqrt3+2sqrt(2xx2xx3)

Write the factorization in exponent form.

4sqrt3+2sqrt(2^2xx3)

Apply rule: sqrt(a^2)=a

4sqrt3+2xx2sqrt3

Simplify 2xx2 to 4.

4sqrt3+4sqrt3

Simplify.

8sqrt3