SOLUTION: Evaluate the following Square root of (36x5y6)

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Question 601215: Evaluate the following
Square root of (36x5y6)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%2836%2Ax%5E5%2Ay%5E6%29 Start with the given expression.


sqrt%2836%2Ax%5E2%2Ax%5E2%2Ax%2Ay%5E6%29 Factor x%5E5 into x%5E2%2Ax%5E2%2Ax


sqrt%2836%2Ax%5E2%2Ax%5E2%2Ax%2Ay%5E2%2Ay%5E2%2Ay%5E2%29 Factor y%5E6 into y%5E2%2Ay%5E2%2Ay%5E2


Break up the square root using the identity sqrt%28A%2AB%29=sqrt%28A%29%2Asqrt%28B%29.


Take the square root of 36 to get 6.


6%2Ax%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.


6%2Ax%2Ax%2Asqrt%28x%29%2Ay%2Ay%2Ay Take the square root of y%5E2 to get y.


6x%5E2y%5E3%2Asqrt%28x%29 Rearrange and multiply the terms.

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Answer:


So sqrt%2836%2Ax%5E5%2Ay%5E6%29 simplifies to 6x%5E2y%5E3%2Asqrt%28x%29


In other words, sqrt%2836%2Ax%5E5%2Ay%5E6%29=6x%5E2y%5E3%2Asqrt%28x%29 where every variable is non-negative.