SOLUTION: Simplify: sqrt(147x^3 * y^6)

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Question 182512: Simplify:
sqrt(147x^3 * y^6)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28147x%5E3+%2A+y%5E6%29+ Start with the given expression


sqrt%2849%2A3%2Ax%5E3+%2A+y%5E6%29+ Factor 147 to get 49%2A3


sqrt%2849%2A3%2Ax%5E2%2Ax%2A+y%5E6%29+ Factor x%5E3 to get x%5E2%2Ax


sqrt%2849%2A3%2Ax%5E2%2Ax%2A+y%5E2%2Ay%5E2%2Ay%5E2%29+ Factor y%5E6 to get y%5E2%2Ay%5E2%2Ay%5E2


Break up the square root.


Take the square root of 49 to get 7


7%2Asqrt%283%29%2Ax%2Asqrt%28x%29%2Asqrt%28y%5E2%29%2Asqrt%28y%5E2%29%2Asqrt%28y%5E2%29+ Take the square root of x%5E2 to get x


7%2Asqrt%283%29%2Ax%2Asqrt%28x%29%2Ay%2Ay%2Ay+ Take the square root of y%5E2 to get y


7xy%5E2%2Asqrt%283x%29 Rearrange the terms and multiply


So sqrt%28147x%5E3+%2A+y%5E6%29+ simplifies to 7xy%5E2%2Asqrt%283x%29