SOLUTION: Can you show me the steps to simplify the following problem: Square root of 54x^11

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Question 91071: Can you show me the steps to simplify the following problem:
Square root of 54x^11
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2854%2Ax%5E11%29Start with the given expression
sqrt%289%2A6%2Ax%5E11%29 Factor 54 into 9%2A6

sqrt%289%2A6%2Ax%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2%29 Factor x%5E11 into x%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2%2Ax%5E2

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

Take the square root of the perfect square 9 to get 3

3%2Asqrt%286%29%2Asqrt%28x%29%2Ax%2Ax%2Ax%2Ax%2Ax Take the square root of the perfect squares x%5E2 to get x

3%2Asqrt%286%29%2Ax%5E5%2Asqrt%28x%29 Multiply the common terms
3%2Ax%5E5%2Asqrt%28x%29%2Asqrt%286%29 Rearrange the terms
3%2Ax%5E5%2Asqrt%286x%29 Group the square root terms