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

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Answer 1 · 2018-05-21T23:27:03

#=3*b^2sqrta#

#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#

Answer 2 · 2018-05-21T23:29:27

#3b^2# #sqrt(a)#

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)#