SOLUTION: simplify the following as completly as possible 4x^2 (sqrt) x^5 y^2 ----------- ------- (sqrt) 2xy Thanks!

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Question 58369: simplify the following as completly as possible

4x^2 (sqrt) x^5 y^2
-------------------
(sqrt) 2xy

Thanks!
Found 2 solutions by funmath, stanbon:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
simplify the following as completly as possible

4x%5E2%2Asqrt%28x%5E5y%5E2%29%2F%28sqrt%282xy%29%29
4x%5E2%2Asqrt%28x%5E5y%5E2%29%2Asqrt%282xy%29%2F%28sqrt%282xy%29%2Asqrt%282xy%29%29
4x%5E2%2Asqrt%282x%5E6y%5E3%29%2F%282xy%29
4x%5E2%2Asqrt%282%28x%5E3%29%5E2%2Ay%5E2%2Ay%29%2F%282xy%29
4x%5E2%2Ax%5E3%2Ay%2Asqrt%282y%29%2F%282xy%29
4x%5E5y%2Asqrt%282y%29%2F2xy
2x%5E4%2Asqrt%282y%29
Happy Calculating!!!


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
[4x^2 sqrt(x^5 y^2)]/[sqrt[(2xy)]
---------------
[4x^2(x^2y)sqrt(x)]/sqrt(2xy)
---------------------
Multiply numerator and denominator by sqrt(2xy) to get:
[4x^4ysqrt(2x^2y)]/2xy
=[4x^5y sqrt(2y)]/2xy
=2x^4 sqrt(2y)
Cheers,
Stan H.