SOLUTION: Can someone please walk me thru how to solve this... Rationalize the denominator- 3-6(square root of 2)over (square root of 2) +1

Question 172084: Can someone please walk me thru how to solve this...
Rationalize the denominator-
3-6(square root of 2)over (square root of 2) +1
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The goal when rationalizing a denominator is to get any radical signs out of the denominator of your fraction, in other words, to make your denominator a rational number.

Your problem:

The process is to find a way to represent the number 1 in such a way that multiplying your original fraction by this representation of 1 will eliminate the radical in the denominator:

is a representation of the process just described, but we need to cleaverly concoct some value for so that becomes rational.

If we just square we still end up with a term containing a radical. (Verification of this is left as an exercise for the student).

However, if you recall the factorization of the difference of two squares, namely: , we get a clue to the value we need. If we multiply we get

Putting it all together:

I've already calculated your denominator, so all that is left is for you to multiply the two binomial numerators to get your answer.
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