SOLUTION: What is the radical of x squared y to the 4th

Algebra ->  Radicals -> SOLUTION: What is the radical of x squared y to the 4th      Log On


   



Question 679010: What is the radical of x squared y to the 4th
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
(1) sqrt%28x%5E2%2Ay%5E4%29
Use the identity
(2) sqrt(a*b) = sqrt(a)*sqrt(b)
Where a = x^2 and b = y^4, we get
(3) (1) = sqrt(x^2)*sqrt(y^4) or
(4) (1) = x*y^2
Answer: The given expression reduces to x*y^2.