How do you simplify sqrt(9ab^4)?

2 Answers
May 21, 2018

=3*b^2sqrta

Explanation:

sqrt(9ab^4)

=sqrt(3*3*a*b*b*b*b)

=sqrt(3^2*a*b^2*b^2)

=3*b*bsqrta

=3*b^2sqrta

May 21, 2018

3b^2 sqrt(a)

Explanation:

So let start by using the known factors we have.

sqrt(9ab^4)

So we can take out a 3 out because 9 is a perfect square which give us:

3 sqrt(ab^4)

So we cannot take out a a because it not a perfect square, it only has one. But we can take out b^4 outside from the house which is b^2.

Our final answer is 3b^2 sqrt(a)