Simplify 1/(3+2√2) + 1/(3-2√2) leaving your answer in the form a+b√2.

Here are the solutions to the problems:

1. Simplify $\frac{2}{3+2\sqrt{2}} + \frac{1}{3-2\sqrt{2}}$ leaving your answer in the form $a+b\sqrt{2}$.

   Step 1: Rationalize the denominators of both fractions.
   To rationalize the first fraction, multiply the numerator and denominator by the conjugate of the denominator, $3-2\sqrt{2}$.

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