Question
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify 4√6/√30
by rationalizing the denominator. Show your work.
(2 points)
To rationalize the denominator of 4√6/√30, we need to multiply both the numerator and the denominator by √30 to get rid of the square root in the denominator:
4√6/√30 * √30/√30
= 4√6√30/30
= 4√(6*30)/30
= 4√180/30
= 4√(36*5)/30
= 4*6√5/30
= 24√5/30
= 12√5/15
= 4√5/5
Therefore, the simplified form of 4√6/√30 by rationalizing the denominator is 4√5/5.