Question

Find two irrational and two rational numbers between 2 & 3. [4 MARKS]

Answer 1

Inserting rational number : 2 Marks
Inserting Irrational numbers : 2 Marks

Irrational numbers:

$2\times 3=6$. 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 $2\sqrt{6}$ isn't a perfect square, it is irrational

Rational Numbers:

$\frac{2+3}{2}$ and $\frac{2+2.5}{2}$