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Square root of 4/9=0.66666666666
Square root of 2=1.41421356237
.'. Rational No. between square root of 4/9 and 2 is 
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thank u very much for ur answer. but let me know how u got it. in one text book it has given 31/25. so please clarrify it.
 \sqrt{  \frac{4}{9}  } \frac{2}{3} = 0.66666...
 \sqrt{2} = 1.41421...

Now easily find the non-terminating non-repeating. 
You can find many numbers, one of them is 0.87890...
(i have limited the number upto 5 decimal places for convenience)
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thank u very much but in text book it has given as 31/25 please clarify.
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