SOLUTION: the square root of 80m^2

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Question 117469: the square root of 80m^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2880%2Am%5E2%29Start with the given expression
sqrt%2816%2A5%2Am%5E2%29 Factor 80 into 16%2A5


sqrt%2816%29%2Asqrt%285%29%2Asqrt%28m%5E2%29 Break up the square root using the identity sqrt%28x%2Ay%29=sqrt%28x%29%2Asqrt%28y%29

4%2Asqrt%285%29%2Asqrt%28m%5E2%29 Take the square root of the perfect square 16 to get 4

4%2Asqrt%285%29%2Am Take the square root of the perfect squares m%5E2 to get m

4%2Asqrt%285%29%2Am Multiply the common terms
4%2Am%2Asqrt%285%29 Rearrange the terms