To rationalize a monomial denominator, multiply the numerator and denominator by a radical that will eliminate the radical in the denominator.
D
Practice makes perfect
To simplify the given expression, we can first rewrite the radical as a quotient of two radicals.
sqrt(45/10)=sqrt(45)/sqrt(10)
Now, 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.