SOLUTION: What is the conjugate for the denominator? How can we rationalize this denominator? 4/2-√3. Thanks.

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Question 468751: What is the conjugate for the denominator? How can we rationalize this denominator? 4/2-√3. Thanks.
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
4
------
2 - √3

4 (2 + √3)
---------------- {multiplied top and bottom by conjugate of denominator, (2 + √3)}
(2 - √3)(2 + √3)

8 + 4√3
-------- {used distributive property on top and foil method on bottom}
4 - √9

8 + 4√3
-------- {evaluated √9 to be 3 on bottom}
4 - 3

= 8 + 4√3 {subtracted 4 - 3 on bottom}

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