To rationalize a monomial denominator, multiply the numerator and denominator by a radical that will eliminate the radical in the denominator.
3sqrt(15)/20
Practice makes perfect
To simplify the given expression, we can first rewrite each radical as a quotient of two radicals.
sqrt(3/16)* sqrt(9/5)=sqrt(3)/sqrt(16)* sqrt(9)/sqrt(5)Now, we can evaluate the numerical value of radical expressions and multiply the fractions.
Finally, we can rationalize the denominator of the quotient.
To rationalize a monomial denominator, we multiply the numerator and denominator by a radical that will eliminate the radical in the denominator.
Because the denominator is a square root, we need to multiply it by a square root that will give us a perfect square under the radical.
