SOLUTION: square root 16x^4y^2

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Question 90524: square root 16x^4y^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2816%2Ax%5E4y%5E2%29Start with the given expression
sqrt%2816%2Ax%5E2%2Ax%5E2%2Ay%5E2%29 Factor x%5E4y%5E2 into x%5E2%2Ax%5E2%2Ay%5E2

sqrt%2816%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29%2Asqrt%28y%5E2%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

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

4%2Ax%2Ax%2Ay Take the square root of the perfect squares x%5E2 and y%5E2 to get x and y
4%2Ax%5E2y Multiply the common terms