Find 3 irrational number between 1 and find three
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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...
NOTE:
This is three of the various possible answers. It might have different solution.
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