Question

Find atleast two irrational numbers between $2$ and $3$?

Answer 1

Finding two irrational numbers between $2$and $3$ :

An irrational number can be defined as a number that cannot be expressed as a ratio of integers.

Since,

$\sqrt{4}=2$ and $\sqrt{9}=3$

$\sqrt{4}<\sqrt{5}<\sqrt{9}$

$\sqrt{5}$ is irrational number lies between $2$ and $3$

Similarly $\sqrt{7}$ is irrational number lies between $2$ and $3$

Therefore, the irrational numbers between $2$ and $3$ are $\sqrt{5},\sqrt{7}$