Question

3. Find a rational and an irrational number
between two positive numbers a and b​

Answer 1

Step-by-step explanation:

Given :-

The two positive numbers a and b

To find:-

Find a rational and an irrational number

between two positive numbers a and b?

Solution:-

Given two positive numbers = a and b

The rational number between a and b by Mean method is (a+b)/2

Ex:-

The two numbers 4 and 5

The rational number between them

=> (4+5)/2

=> 9/2

The irrational number between a and b is √ab

Ex:-

The two numbers 4 and 5

The irrational number between them

=>√(4×5)

=>√20 or 2√5

Answer:-

1.The rational number between a and b= (a+b)/2

2.The irrational number between a and b is √ab