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

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. $\sqrt{\frac{48 {m}^{2}}{3}}$
Next, we simplify the fraction. Since 48 is divisible by 3, the whole things can be simplified to $\sqrt{16 {m}^{2}}$. 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.