Rationalize the denominator.Then simplify your answer.

Question

Quizplus · Accepted Answer

To rationalize the denominator, we need to get rid of the square root. We can do this by multiplying both the numerator and denominator by the conjugate of the denominator, which is 7 + sqrt(39). 
So, 
(2sqrt(39) - 5)/(7 - sqrt(39)) * (7 + sqrt(39))/(7 + sqrt(39)) 
= (2sqrt(39)*7 + 2*39 - 5sqrt(39) - 5sqrt(39))/(7^2 - (sqrt(39))^2) 
= (89sqrt(39) + 73)/16 
= 11ea89fe_4ae5_483c_9fff_5fc53b51dbbc_TB2036_11

Rationalize the Denominator.Then Simplify Your Answer