Simplify each of the following :`3/(5-sqrt(3))+2/(5+sqrt(3))`

Explanation

To simplify the expression \( \frac{3}{5 - \sqrt{3}} + \frac{2}{5 + \sqrt{3}} \), we will follow these steps:

### Step 1: Find a common denominator
The denominators are \( 5 - \sqrt{3} \) and \( 5 + \sqrt{3} \). The common denominator will be the product of these two denominators:

\[ (5 - \sqrt{3})(5 + \sqrt{3}) = 5^2 - (\sqrt{3})^2 = 25 - 3 = 22 \]
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