Determine if the given square root evaluates to a real number.
$-\sqrt{-25}$

• A. Real
• B. Not Real
• C. Cannot be determined

Answer: (B)

Verified step by step guidance

1. Identify the expression inside the square root: here it is \(-25\).
2. Recall that the square root of a negative number is not a real number because real numbers do not include the square roots of negative values.
3. Rewrite the expression as \(-\sqrt{-25}\), noting that the negative sign outside the square root does not affect the nature of the number inside the root.
4. Recognize that \(\sqrt{-25}\) can be expressed using imaginary numbers as \(\sqrt{25} \times \sqrt{-1}\), which is \$5i\( where \)i$ is the imaginary unit.
5. Conclude that since the square root of a negative number involves \(i\), the expression \(-\sqrt{-25}\) is not a real number.