SOLUTION: How would I rationalize the denominator of 1/sq rt 8-sq rt 7?

Algebra ->  Equations -> SOLUTION: How would I rationalize the denominator of 1/sq rt 8-sq rt 7?      Log On


   

Question 945748: How would I rationalize the denominator of 1/sq rt 8-sq rt 7?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28sqrt%288%29-sqrt%287%29%29

Multiply by 1=%28sqrt%288%29%2Bsqrt%287%29%29%2F%28sqrt%288%29%2Bsqrt%287%29%29

That is not the answer. I told you what to do in order for YOU to get the answer on your own.



METHOD TO RATIONALIZE DENOMINATOR

Use the conjugate of the irrational denominator, and form a factor of 1. Multiply your given expression by 1:





Use distributive property for the denominator, or a lattice approach, or...

%28sqrt%288%29%2Bsqrt%287%29%29%2F%288-sqrt%288%29sqrt%287%29%2Bsqrt%288%29sqrt%287%29-7%29

%28sqrt%288%29%2Bsqrt%287%29%29%2F%288%2B0-7%29

%28sqrt%288%29%2Bsqrt%287%29%29%2F%281%29, denominator in this form is 1.

highlight%28sqrt%288%29%2Bsqrt%287%29%29