Question

How do you simplify `sqrt12 times sqrt27`?

Answer 1

18

Explanation:

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`