Question

Check whether $\frac{5}{\sqrt{2}}$ are irrational numbers

Answer 1

Given number is $\frac{5}{\sqrt{2}}$.

Clearly, $5$ is a rational number and $\sqrt{2}$ is an irrational number.

We know that, a rational number divided by an irrational number is an irrational number.

Here, $5$ is divided by $\sqrt{2}$

Hence, $\frac{5}{\sqrt{2}}$ is an irrational number.