SOLUTION: I need to solve the following and I know the answer is 8x^3 but I can't seem to figure it out. Please help. Square root of 2x multiplied by square root of 32x^5.. THANK YOU!

Algebra ->  Radicals -> SOLUTION: I need to solve the following and I know the answer is 8x^3 but I can't seem to figure it out. Please help. Square root of 2x multiplied by square root of 32x^5.. THANK YOU!       Log On


   

Question 87858: I need to solve the following and I know the answer is 8x^3 but I can't seem to figure it out. Please help.
Square root of 2x multiplied by square root of 32x^5.. THANK YOU!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28sqrt%282x%29%29%28sqrt%2832x%5E5%29%29 Recall that:%28sqrt%28a%29%29%28sqrt%28b%29%29+=+sqrt%28a%2Ab%29 Apply this to your problem:
%28sqrt%282x%29%29%28sqrt%2832x%5E5%29%29+=+sqrt%282%2A32%2Ax%2Ax%5E5%29 Simplify.
sqrt%2864x%5E6%29 Rewrite this as:
sqrt%288%5E2%2A%28x%5E3%29%5E2%29 Now you can take the square root of the squared quantities out from under the radical, because: sqrt%28a%5E2%29+=+a so you get:
8x%5E3