SOLUTION: Rationalize the denominator: 3____ √[6] – √[3]

Algebra ->  Radicals -> SOLUTION: Rationalize the denominator: 3____ √[6] – √[3]       Log On


   

Question 157129: Rationalize the denominator:
3____
√[6] – √[3]
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Rationalize the denominator:
3____
√[6] – √[3]
---------
To get rid of radicals in the DEN, multiply by the "conjugate"
(sqrt(6) + sqrt(3))
= 3*(sqrt(6) + sqrt(3))/ (6 - 3)
= sqrt(6) + sqrt(3)
That's all
The term "conjugate" may not be correct for this, but it will be used for complex numbers and the procedure is the same.