SOLUTION: Can you simplify by rationalizing the denominator ? Help (12)/(6-√13) 12 over 6 minus √13 Thank you so much

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Question 1040262: Can you simplify by rationalizing the denominator ?
Help
(12)/(6-√13)
12 over 6 minus √13
Thank you so much

Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
(12)/(6-√13)
12 over 6 minus √13



Form the conjugate of the two term denominator
by the rule: A+B and A-B are conjugates of each
other.

So the conjugate of  is .

Then put the conjugate over itself, ,
which equals 1, and since it equals 1, we can multiply
 by it without changing its value.





FOIL out the bottom:











Either of the last two forms.

Edwin

Answer by ikleyn(52805)   (Show Source): You can put this solution on YOUR website!
.
For more solved problems on rationalizing the denominator see the lesson

      HOW TO rationalize a fraction by making its denominator free of square roots

in this site.


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