Question

Find two irrational and two rational numbers between 2&3.​

Answer 1

Two rational numbers are 2.1 and 2.3

two irrational numbers are 2.121121121112...

and 2.313311333111...

You can write in decimals for fast calculations.

Answer 2

Irrational numbers:

2×3= 6. Not a perfect square.

Hence

$\sqrt{6}$

is one irrational number between 2 and 3.

Also between 2 and

$\sqrt{6}$

we have

$\sqrt{2 \sqrt{6} }$

Since,

$\sqrt[2]{6}$

is n't a perfect square, it is irrational.

Rational Numbers:

$\frac{2 + 3}{2}$

and

$\frac{2 + 2.5}{2}$