The given fraction is:
[tex]\frac{10}{\sqrt[]{2}}[/tex]
To rationalize the denominator, multiply numerator and denominator by square root(2) and simplify:
[tex]\frac{10\cdot\sqrt[]{2}}{\sqrt[]{2}\cdot\sqrt[]{2}}=\frac{10\sqrt[]{2}}{(\sqrt[]{2})^2}=\frac{10\sqrt[]{2}}{2}=5\sqrt[]{2}[/tex]
The answer is D.
