Question 6 (Mandatory) (1 point) Simplify $\frac{-5}{2 \sqrt{5}}$ a) $\frac{-\sqrt{5}}{10}$ b) $\frac{\sqrt{5}}{2}$ c) $\frac{\sqrt{5}}{10}$ d) $\frac{-\sqrt{5}}{2}$

Step 1 ：The question is asking to simplify the expression \(\frac{-5}{2 \sqrt{5}}\).

Step 2 ：To simplify this, we can multiply the numerator and the denominator by \(\sqrt{5}\) to rationalize the denominator.

Step 3 ：The simplified expression is \(-\frac{\sqrt{5}}{2}\), which matches with option d) in the question.

Step 4 ：Therefore, the answer to the question is d) \(-\frac{\sqrt{5}}{2}\).

Step 5 ：Final Answer: \(\boxed{-\frac{\sqrt{5}}{2}}\)