How do you simplify sqrt12*sqrt30?

2 Answers
May 1, 2018

6sqrt10

Explanation:

sqrt12*sqrt30=sqrt(4*3)*sqrt(3*10)=sqrt4*sqrt3*sqrt3*sqrt10=2*3*sqrt10=6sqrt10

exact form: 6sqrt10

decimal form:18.97366596…

Explanation:

Combine using the product rule for radicals.
sqrt12 *sqrt30 =sqrt(12⋅30)

Factor 36 out of 360

=sqrt(36(10))

Rewrite 36 as 6^2
Pull the factor out from under the radical.

exact form: =6sqrt10

decimal form:18.97366596…