SOLUTION: simplify the expression: sqrt(16a^4x^2)

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Question 111023: simplify the expression: sqrt(16a^4x^2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2816%2Aa%5E4%2Ax%5E2%29Start with the given expression
sqrt%2816%2Aa%5E2%2Aa%5E2%2Ax%5E2%29 Factor a%5E4%2Ax%5E2 into a%5E2%2Aa%5E2%2Ax%5E2

sqrt%2816%29%2Asqrt%28a%5E2%29%2Asqrt%28a%5E2%29%2Asqrt%28x%5E2%29 Break up the square root using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

4%2Asqrt%28a%5E2%29%2Asqrt%28a%5E2%29%2Asqrt%28x%5E2%29 Take the square root of the perfect square 16 to get 4

4%2Aa%2Aa%2Ax Take the square root of the perfect squares a%5E2 and x%5E2 to get a and x

4%2Aa%5E2x Multiply the common terms