How do you simplify #sqrt(48m^2)/sqrt3#?

1 Answer
May 5, 2017

4m would be the answer


Since both denominator and numerator have square root, you can safely put a square on the whole fraction rather than putting them individually on the numerator and denominator. #sqrt((48m^2)/3)#

Next, we simplify the fraction. Since 48 is divisible by 3, the whole things can be simplified to #sqrt(16m^2)#. Now, we can square root the remaining to get 4m since square root of 16 would be 4 and square root of #m^2# would be m. When put together we get 4m.