Answer
$\frac{7\sqrt 2}{2}$
Work Step by Step
To rationalize we must get rid of the square root in the denominator. We can do this by multiplying the square root of 2 with the numerator and the denominator.
$\frac{7}{\sqrt 2}\times\frac{\sqrt 2}{\sqrt 2}=\frac{7\sqrt 2}{2}$