SOLUTION: I'm looking to learn the procedure in (x^3)square root of 8x^5 its asking to simplify I'm confused as to how you would square root a x^3 to the 8x^5 its quite confusing and if

Algebra ->  Radicals -> SOLUTION: I'm looking to learn the procedure in (x^3)square root of 8x^5 its asking to simplify I'm confused as to how you would square root a x^3 to the 8x^5 its quite confusing and if       Log On


   



Question 929163: I'm looking to learn the procedure in (x^3)square root of 8x^5
its asking to simplify I'm confused as to how you would square root a x^3 to the 8x^5
its quite confusing and if you could also help with one more problem please it is to simplify
square root of 81a^2b^2/9
thankyou i appreciate the help
hopefully you can explain to where i can pick it up and ill know the process

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
this is not quite clear:
(x^3)square root of 8x^5
I assume, you have %28x%5E3%29sqrt%288x%5E5%29: if yes, then
%28x%5E3%29sqrt%282%2A2%5E2x%5E2x%5E2x%29
x%5E3%2Asqrt%282%29sqrt%282%5E2%29sqrt%28x%5E2%29sqrt%28x%5E2%29sqrt%28x%29
x%5E3%2Asqrt%282%29%2A2%2Ax%2Ax%2Asqrt%28x%29
2x%5E3%2Ax%5E2sqrt%282%29%2Asqrt%28x%29
2x%5E%283%2B2%29sqrt%282%29%2Asqrt%28x%29
2x%5E5sqrt%282%29%2Asqrt%28x%29


sqrt%28%2881a%5E2b%5E2%29%2F9%29
=sqrt%289%5E2a%5E2b%5E2%29%2Fsqrt%283%5E2%29
=%28cross%289%293ab%29%2Fcross%283%291
=3ab