SOLUTION: Simplify √ (32x5y2) that is sqrt (32x5y2)

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Question 191899: Simplify √ (32x5y2) that is sqrt (32x5y2)
Found 2 solutions by Mathtut, jim_thompson5910:
Answer by Mathtut(3670) About Me  (Show Source):
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2832%2Ax%5E5%2Ay%5E2%29 Start with the given expression.


sqrt%2816%2A2%2Ax%5E5%2Ay%5E2%29 Factor 32 into 16%2A2


sqrt%2816%2A2%2Ax%5E2%2Ax%5E2%2Ax%2Ay%5E2%29 Factor x%5E5 into x%5E2%2Ax%5E2%2Ax


Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


4%2Asqrt%282%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28x%29%2Asqrt%28y%5E2%29 Take the square root of 16 to get 4.


4%2Asqrt%282%29%2Ax%2Ax%2Asqrt%28x%29%2Asqrt%28y%5E2%29 Take the square root of x%5E2 to get x.


4%2Asqrt%282%29%2Ax%2Ax%2Asqrt%28x%29%2Ay Take the square root of y%5E2 to get y.


4x%5E2y%2Asqrt%282x%29 Rearrange and combine the terms.

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Answer:


So sqrt%2832%2Ax%5E5%2Ay%5E2%29 simplifies to 4x%5E2y%2Asqrt%282x%29


In other words, sqrt%2832%2Ax%5E5%2Ay%5E2%29=4x%5E2y%2Asqrt%282x%29 where every variable is non-negative.