A fraction where both numerator and denominator are square roots can be simplified by taking the square root of the entire fraction. $$\frac{\sqrt{12}}{\sqrt{3}}=\sqrt{\frac{12}{3}}=\sqrt{4}$$ This rule applies for all non-negative real numbers where the denominator is not $0,$ and can be shown by rewriting the square roots as powers and using the Quotient of Powers Property.