SOLUTION: square root 81x^4

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Question 88643: square root 81x^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2881%2Ax%5E4%29
sqrt%2881%2Ax%5E2%2Ax%5E2%29 Factor x%5E4 into x%5E2%2Ax%5E2

sqrt%2881%29%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Break up the square roots using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

9%2Asqrt%28x%5E2%29%2Asqrt%28x%5E2%29 Take the square root of the perfect square 81 to get 9

9%2Ax%2Ax Take the square root of the perfect squares x%5E2 to get x

9%2Ax%5E2 Multiply the common terms

So sqrt%2881%2Ax%5E4%29 simplifies to 9%2Ax%5E2