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,

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

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