Question

Give three examples to show that square roots of all the positive integers are not always irrational.

Answer 1

Irrational numbers:

In most of the positive integers numbers , their square roots irrational numbers like square root of $2$ is $\sqrt{2}$ and it is an irrational number

Now let us discuss about the positive integers whose square root is not an irrational number

For example,

a) square root of $4$ is $\sqrt{4}=2$ which indicates that $2$ is irrational.

b)square root of $9$ is $\sqrt{9}=3$ which indicates that $3$ is irrational

c)square root of $16$ is $\sqrt{16}=4$ which indicates that $4$ is irrational

Therefore, the three positive integers whose square roots are not always irrational are $4$, $9$ and $16$.