SOLUTION: If x = square root 5 + square root 8, find x + 1 over x giving answers in surd form with rational denominators

Question 859005: If x = square root 5 + square root 8, find x + 1 over x giving answers in surd form with rational denominators
Answer by Awesom3guy(31) (Show Source): You can put this solution on YOUR website!

=?

Plug in in the places of x.

Now you want to rationalize the denominator by expanding the fraction with the DIFFERENCE of the roots in the denominator. When you multiply both the top and bottom with , the roots in the denominator will be gone.
Because .

So:

=

When you expand the brackets on the top:

The cancels out and you get:

:) Hope I helped
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