How do you simplify $sqrt12 times sqrt27$ ?

Question

1017 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-23T14:27:26

18

You know that

$sqrt(12)=sqrt(2^2*3)=2sqrt(3)$

and

$sqrt(27)=sqrt(3^3)=3sqrt(3)$

so you can sum them:

$sqrt(12)*sqrt(27)=2sqrt(3)*3sqrt(3)=6sqrt(3)^2=6*3=18$

How do you simplify sqrt12 times sqrt27sqrt12 times sqrt27?