SOLUTION: I know I have to rationalize the denominator, im just not sure how it works with a square root and real number. Help, please! Thanks, Elizabeth. 11 ------- √7 + 8 a

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Question 163585: I know I have to rationalize the denominator, im just not sure how it works with a square root and real number. Help, please! Thanks, Elizabeth.
11
-------
√7 + 8
and
3
--------
2√5 - √7

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I know I have to rationalize the denominator, im just not sure how it works with a square root and real number. Help, please! Thanks, Elizabeth.
11
-------
√7 + 8
//////////////////
Use the "conjugate" to get rid of radicals in the DEN. Multiply NUM and DEN by
[11*(sqrt(7) -8]/(7 - 64)
= -
Multiplying by the "conjugate" is something you'll see more of to deal with radicals and imaginaries.
and
3
--------
2√5 - √7
----------------
Same approach, multiply by
=
=

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