Question

write three different irrational numbers between the rational numbers 6/5and 7/9

guys this answer is also urgent plz answer faster as soon as possible ​

Answer 1

Answer:

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...

Answer 2

Answer:

$\huge \underline \mathfrak{answer}$

There are infinitely many rational numbers between any two rational numbers. But if you specifically ask to name three of them, it can be done in multiple ways. There are infinitely many ways in which you can express 3/5 and 7/6 as rational numbers having the same denominator.

For eg:-

3/5 = 18/30 and 7/6 = 35/30

In this case, the three rational numbers can be any of 19/30, 20/30, 21/30,……..,34/30

2. 3/5= 36/60 and 7/6 = 70/60

In this case, the three rational numbers can be any of 37/60, 38/60, 39/60,…………,69/60

Similarly, the given rational numbers can also be expressed as numbers having 120, 240, etc. as the denominator and accordingly you can pick three rational numbers between them.

Hope this helped. :)