Question

write an irrational number between A and B where a b is not a perfect square​

Answer 1

Answer:

3.85589436...... is one among them

Answer 2

An irrational number between A and B $=\dfrac{A+B}{2}$

Step-by-step explanation:

We have,

The two irrational numbers = A and B

To find, an irrational number between A and B =

Let A $=\sqrt{5}$ and B $=\sqrt{7}$ ( is not perfect square)

∴ A $=\sqrt{5}$ = 2.23606..... and

B $=\sqrt{7}$ = 2.45751.....

∴ An irrational number between A and B $=\dfrac{A+B}{2}$

$=\dfrac{2.23606..... +2.45751..... }{2}$

$=\dfrac{4.69357.....}{2}$

= 2.346785

Hence, an irrational number between A and B $=\dfrac{A+B}{2}$