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

1 Answer
May 29, 2018

Answer:

#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#