Question

What are three irrational numbers between $2$and $3$?

Answer 1

Find irrational numbers between $2$ and$3$.

The real number which can be expressed as a ratio of integers is rational; for example, 2 is rational.

Similarly, an irrational number appears fractional increment that is neither ending nor recurrent.
Find irrational numbers between $2$and$3$:
Since it is already known that the square root of $4$ is $2$i.e.$\sqrt{4}=2$, and the square root of $9$ is $3$i.e.$\sqrt{9}=3$.

As a result, the number of irrational numbers between $2$and $3$and $\surd 5,\surd 6,$and$\surd 7$ whose perfect square roots do not exist.

Hence, the three irrational numbers between $2$and $3$are “$\surd 5,\surd 6,$and $\surd 7$”.