SOLUTION: square root of 50x^2y^20

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Question 116095: square root of 50x^2y^20
Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
SQRT50X^2Y^20
5XY^10SQRT2 ANSWER.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2850%2Ax%5E2y%5E20%29Start with the given expression
sqrt%2825%2A2%2Ax%5E2y%5E20%29 Factor 50 into 25%2A2

Factor x%5E2y%5E20 into x%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2%2Ay%5E2

Break up the square root using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

Take the square root of the perfect square 25 to get 5

5%2Asqrt%282%29%2Ax%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay%2Ay Take the square root of the perfect squares x%5E2 and y%5E2 to get x and y

5%2Asqrt%282%29%2Axy%5E10 Multiply the common terms
5%2Axy%5E10%2Asqrt%282%29 Rearrange the terms