Question

Find three irrational numbers between

4/7



3/4​

Answer 1

Step-by-step explanation:

7

5

=0.714285714285...=0.

714285

and

11

9

=0.8181...=0.

81

.

Here, the two decimal expansions are non-terminating recurring.

Hence,

7

5

and

11

9

are two rational numbers.

We know, between any two rational numbers, there are infinitely many irrational numbers.

An irrational number has non-terminating non-recurring decimal expansions.

Then three different irrational number between

7

5

and

11

9

can be:

0.750750075000075...

0.767076700767...

0.808008000800008...

NOTE:

This is three of the various possible answers. It might have different solution.