Evaluate the radical.
$-\(\sqrt{\frac14}\)$

• A. $\(\frac\)12$
• B. $-\(\frac\)12$
• C. $-\(\frac{1}{16}\)$
• D. No real solution (Imaginary)

Answer: (B)

Verified step by step guidance

1. Identify the expression inside the radical: \( \sqrt{\frac{1}{4}} \).
2. Recall that the square root of a fraction \( \frac{a}{b} \) is \( \frac{\sqrt{a}}{\sqrt{b}} \).
3. Apply this property to \( \sqrt{\frac{1}{4}} \), which becomes \( \frac{\sqrt{1}}{\sqrt{4}} \).
4. Calculate the square roots: \( \sqrt{1} = 1 \) and \( \sqrt{4} = 2 \), so \( \frac{\sqrt{1}}{\sqrt{4}} = \frac{1}{2} \).
5. Evaluate the expression \( -14 - \frac{1}{2} \) to determine the correct answer from the given options.