Question

question
express in simplest form with a rational denominator.
\\(\frac{5}{\sqrt{2}}\\)
answer attempt 1 out of 2

Explanation:

Step1: Rationalize the denominator.

Multiply numerator and denominator by $\sqrt{2}$: $\frac{5}{\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}$

Step2: Simplify the expression.

$\frac{5\times\sqrt{2}}{\sqrt{2}\times\sqrt{2}}=\frac{5\sqrt{2}}{2}$

Answer:

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