sqrt(a)/sqrt(b)=sqrt(a/b)

A fraction where both numerator and denominator are square roots can be simplified by taking the square root of the entire fraction. sqrt(12)/sqrt(3)=sqrt(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.