Rationalize the denominator 44 5 44 5 Simplify your answe

Rationalize the denominator. 4/4 - 5 4/4 - 5 = (Simplify your answer. Type an exact answer, using radicals as needed.)

Solution

4 / (4- sqrt(5)

4 * (4+sqrt(5) / (4- sqrt(5) * (4 + sqrt(5)

4*(4+sqrt(5)) / 16-5)

= 4/11 ( 4 + sqrt(5))