Question

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

Answer 1

4m would be the answer

Explanation:

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.