Explanation:

- Consider the triangle inequality theorem: for any triangle with sides \(a\), \(b\), and \(c\), the sum of the lengths of any two sides must be greater than the length of the remaining side. This is true for all permutations:

- \(a + b > c\)

- \(a + c > b\)

- \(b + c > a\)

- From \(a + b > c\), you can deduce that \(\sqrt{a} + \sqrt{b} > \sqrt{c}\).

- This implies that \(\sqrt{a} + \sqrt{b} - \sqrt{c}\) is greater than 0.

- Therefore, \(\sqrt{a} + \sqrt{b} - \sqrt{c}\) is always positive.

- Correct Answer: Option 2, Positive

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