If `|hata-hatb|=sqrt(2)` then calculate the value of `|hat a+sqrt(3)hatb|`.

Explanation

To solve the problem, we need to calculate the value of \( |\hat{a} + \sqrt{3} \hat{b}| \) given that \( |\hat{a} - \hat{b}| = \sqrt{2} \).

### Step-by-Step Solution

1. **Understanding the Given Information**:
We know that \( |\hat{a} - \hat{b}| = \sqrt{2} \). Here, \( \hat{a} \) and \( \hat{b} \) are unit vectors.

2. **Using the Magnitude Formula**:
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