Question

State whether the following statements are true or false. Justify your answers.
$\sqrt{n}$ is irrational if n is not a perfect square

• A. True
• B. False

Answer 1

The correct option is A True

True ,

$\sqrt{4}=2$ where 2 is a rational number.Here n is perfect square the $\sqrt{n}$ is rational number

$\sqrt{5}=\mathrm{2.236..}$ is not rational number But it is irrational number . here n is not a perfect square the $\sqrt{n}$ is irrational number

So $\sqrt{n}$ is irrational number if n is not a perfect square