Questions: Simplify. (-sqrtfrac14) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. (-sqrtfrac14=) □ B. The root is not a real number.

$Simplify. (-sqrtfrac14) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. (-sqrtfrac14=) □ B. The root is not a real number.$

Transcript text: Simplify. \[ -\sqrt{\frac{1}{4}} \] Select the correct choice below and, if necessary, fill in the answer box within your choice. A. $-\sqrt{\frac{1}{4}}=$ $\square$ B. The root is not a real number.

Solution

Solution Steps

To simplify the expression $-\sqrt{\frac{1}{4}}$, we need to find the square root of $\frac{1}{4}$ and then apply the negative sign. The square root of $\frac{1}{4}$ is $\frac{1}{2}$, so the expression simplifies to $-\frac{1}{2}$.

Step 1: Calculate the Square Root

To simplify the expression $-\sqrt{\frac{1}{4}}$, we first calculate the square root of $\frac{1}{4}$: \[ \sqrt{\frac{1}{4}} = \frac{1}{2} \]

Step 2: Apply the Negative Sign

Next, we apply the negative sign to the result obtained in Step 1: \[ -\sqrt{\frac{1}{4}} = -\frac{1}{2} \]