find two irrational numbers lying between root of 2 and root of 3

Answer 1

the mean of two values lies between them. So, (√2+√3)/2 does the job.

Or, just note that
√2 = 1.414...
√3 = 1.732...
Now pick any value in between them.

Answer 2

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Answer 3

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Answer 4

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Answer 5

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Answer 6

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