SOLUTION: Can you please help me solve this problem? (the square root of 18m^3)-(the square root of 72m^3)

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Question 190603: Can you please help me solve this problem? (the square root of 18m^3)-(the square root of 72m^3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2818m%5E3%29-sqrt%2872m%5E3%29 Start with the given expression.


sqrt%289%2A2%2Am%5E2%2Am%29-sqrt%2836%2A2%2Am%5E2%2Am%29 Factor


Note: 18m%5E3 factors to 9%2A2%2Am%5E2%2Am and 72m%5E3 factors to 36%2A2%2Am%5E2%2Am

Break up the square roots.


3%2Asqrt%282%29%2Am%2Asqrt%28m%29-6%2Asqrt%282%29%2Am%2Asqrt%28m%29 Take the square root of 9, 36, and m%5E2 to get 3, 6, and "m" respectively


3m%2Asqrt%282m%29-6m%2Asqrt%282m%29 Multiply and recombine the roots.


%283m-6m%29%2Asqrt%282m%29 Factor out the GCF sqrt%282m%29


-3m%2Asqrt%282m%29 Combine like terms.


So sqrt%2818m%5E3%29-sqrt%2872m%5E3%29=-3m%2Asqrt%282m%29 where m%3E=0