Question

Simplify.



StartFraction 8 over StartRoot 2 EndRoot EndFraction

Answer options with 5 options
A.
2

B.
4

C.
4 StartRoot 2 EndRoot

D.
StartFraction 4 over StartRoot 1 EndRoot EndFraction

E.
8 StartRoot 2 EndRoot

Answer 1

To simplify the expression \( \frac{8}{\sqrt{2}} \), we can multiply the numerator and denominator by \( \sqrt{2} \) to eliminate the square root in the denominator:

\[
\frac{8}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{8\sqrt{2}}{2}
\]

Now, simplify the numerator:

\[
\frac{8\sqrt{2}}{2} = 4\sqrt{2}
\]

Therefore, the simplified expression is \( 4\sqrt{2} \).

Looking at the answer options, the correct answer is:

C. \( 4\sqrt{2} \)