How do you simplify sqrt10*sqrt12?

2 Answers
Mar 19, 2018

2sqrt30

Explanation:

We can rewrite sqrt10*sqrt12 as sqrt(10*12)=sqrt120. Now we can factor a perfect square out of sqrt120. We get:

sqrt120=sqrt4*sqrt30

=>2sqrt30

There are no perfect squares in 30, so we are done!

Mar 19, 2018

sqrt(10*12)

=sqrt(120)

=sqrt(3*4*10)

=sqrt(4)*sqrt(30)

=2sqrt(30)

Explanation:

sqrt(a) * sqrt(b) = sqrt(a*b)