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

A fraction where both numerator and denominator are radicals can be simplified by taking the nth root of the entire fraction. sqrt(54)/sqrt(2)=sqrt(54/2)=sqrt(27) This rule applies for all non-negative real numbers where the denominator is not 0, and can be shown by rewriting the radicals as powers and using the Quotient of Powers Property.