Question

State, whether the following numbers are rational or irrational.​
${\left(\frac{\sqrt{5}}{3\sqrt{2}}\right)}^2$

Answer 1

Step: Check whether the expression is rational or irrational.​

${\left(\frac{\sqrt{5}}{3\sqrt{2}}\right)}^2$

$=\left(\frac{5}{9\left(2\right)}\right)$

We get ,

$=\left(\frac{5}{18}\right)$

which is a rational number

Therefore ,${\left(\frac{\sqrt{5}}{3\sqrt{2}}\right)}^2$ is a rational number.