How do you simplify 3 sqrt 12 + 4 sqrt18?

3 Answers
Mar 2, 2018

6sqrt3+12sqrt2

Explanation:

3sqrt12+4sqrt18

3sqrt(4*3)+4sqrt(2*3*3)

3*sqrt4*sqrt3+4*sqrt2*sqrt3*sqrt3

3*2*sqrt3+4*sqrt2*sqrt3*sqrt3

6*sqrt3+4*sqrt2*sqrt3*sqrt3

6*sqrt3+4*sqrt2*3

6sqrt3+12sqrt2

(or 6(sqrt3+2sqrt2))

Mar 2, 2018

6sqrt3+12sqrt2

Explanation:

3sqrt12+4sqrt18
3sqrt(4*3)+4sqrt(9*2)
6sqrt3+12sqrt2
We can't really combine those terms, due to the different numbers under the radicand

Mar 2, 2018

3sqrt12 + 4sqrt18=color(blue)(6sqrt3 + 12sqrt2

Explanation:

Simplify:

3sqrt12 + 4sqrt18

Prime factorize 12 in sqrt12.

3sqrt(2xx2xx3) + 4sqrt18

Simplify.

3xx2sqrt3 + 4sqrt18

6sqrt3+4sqrt18

Prime factorize 18.

6sqrt3+4sqrt(2xx3xx3)

Simplify.

6sqrt3+4xx3sqrt2

6sqrt3 + 12sqrt2