Question: In calculus, it is sometimes desirable to rationalize the numerator. To rationalize a numerator, we multiply the numerator and the denominator by the conjugate of

In calculus, it is sometimes desirable to rationalize the numerator. To rationalize a numerator, we multiply the numerator and the denominator by the conjugate of the numerator. For example,


6-2 (6-2)(6+ 2) 4 4 (6 + 2) 36 - 2 34


Rationalize each numerator. Assume that all variables represent positive real numbers.


17 4(6 + 2) 4(6 + )2(6 + ) ||

6-2 (6-2)(6+ 2) 4 4 (6 + 2) 36 - 2 34 17 4(6 + 2) 4(6 + )2(6 + ) ||

Step by Step Solution

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To rationalize the numerator of the expression sqrtp 3sqrtq4q we need to eliminate the square roots from the numerator First lets multiply both the numerator and denominator by the conjugate of the numerator which is sqrtp 3sqrtq ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related College Algebra Questions!