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If a and b are two positive rational numbers such that ab is not a perfect square of a rational number ,then √ab is an irrational number lying between a and b .
therefore, the irrational number between 5/7 and 7/9 is √5/7×7/9=√5/9=√5/3.
There are many irrational numbers between two rational numbers.
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5/7=0.714285 recurring
7/9=0.7 recurring

Now, we have to find irrational numbers between 0.714285 recurring and 0.7 recurring.
There are infinitely many such numbers.
Two of them could be:

Note*- I have used "recurring" because its symbol is not available.
0 0 0
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