SOLUTION: simplify and assume that all variables represents positive numbers square root of x^4y^3

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Question 87844: simplify and assume that all variables represents positive numbers
square root of x^4y^3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%281%2Ax%5E4y%5E3%29
sqrt%281%2Ax%5E2%2Ax%5E2%2Ay%2Ay%5E2%29 Factor x%5E4y%5E3 into x%5E2%2Ax%5E2%2Ay%2Ay%5E2

sqrt%281%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28y%29%2Asqrt%28y%5E2%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

1%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28y%29%2Asqrt%28y%5E2%29 Take the square root of the perfect square 1 to get 1

1%2Ax%2Ax%2Asqrt%28y%29%2Ay Take the square root of the perfect squares x%5E2,and y%5E2 to get x,and y

1%2Ax%5E2y%2Asqrt%28y%29 Multiply the common terms
1%2Ax%5E2y%2Asqrt%28y%29 Rearrange the terms