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) $\frac{-\sqrt{5}}{2}$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: $\boxed{-\frac{\sqrt{5}}{2}}$

Steps

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: $\boxed{-\frac{\sqrt{5}}{2}}$