SOLUTION: Simplify. Assume all variables represent positive numbers. √ (x^4 y^3)

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Question 185816: Simplify. Assume all variables represent positive numbers. √ (x^4 y^3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%5E4%2Ay%5E3%29 Start with the given expression


sqrt%28x%5E2%2Ax%5E2%2Ay%5E3%29 Factor x%5E4 to get x%5E2%2Ax%5E2 (note: we want to factor the expression into a product of squares)


sqrt%28x%5E2%2Ax%5E2%2Ay%5E2%2Ay%29 Factor y%5E3 to get y%5E2%2Ay


sqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28y%5E2%29%2Asqrt%28y%29 Break up the square root.


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


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


x%5E2%2Ay%2Asqrt%28y%29 Multiply



So sqrt%28x%5E4%2Ay%5E3%29=x%5E2%2Ay%2Asqrt%28y%29 where every variable is non-negative.