If `x=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))` and `y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))` , find `x^2+y^2`

Explanation

To find \( x^2 + y^2 \) given \( x = \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}} \) and \( y = \frac{\sqrt{3} - \sqrt{2}}{\sqrt{3} + \sqrt{2}} \), we can follow these steps:

### Step 1: Rationalize \( x \)

We start with the expression for \( x \):
\[ x = \frac{\sqrt{3} + \sqrt{2}}{\sqrt{3} - \sqrt{2}} \]
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