SOLUTION: i must simplify the sqrt of a/b times sqrt of a^2/b^2 is the answer sqrt of ab/b

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Question 277494: i must simplify the sqrt of a/b times sqrt of a^2/b^2 is the answer sqrt of ab/b
Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
i must simplify the sqrt of a/b times sqrt of a^2/b^2 is the answer sqrt of ab/b
sqrt(a/b)*sgrt(a^2/b^2) =
(sqrt(a)/sqrt(b)}*(sqrt(a^2)/sqrt(b^2)) =
(sqrt(a)/sqrt(b))*(a/b) =
(a*sqrt(a))/(b*sqrt(b))
We need to get the sqrt out of the denominator. We can do this by multiplying numerator and denominator by sqrt(b) which is the same as multiplying by 1:
(a*sqrt(a)*sqrt(b))/(b*sqrt(b)*sqrt(b)) =
(a*sqrt(a)*sqrt(b))/(b*sqrt(b^2)) =
(a*b*sqrt(a)*sqrt(b))/(b*b) =
a*sqrt(ab)/b