How many irrational numbers lie between √3 and √2 ?

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Solution

An infinite number of irrational numbers lie between √3 and √2 . we can go on taking square roots of 2.000000000001 , 2.00000000000000001 like that going for ever

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How many irrational numbers lie between $2$ and $3$ ? Find any three irrational numbers lying between $2$ and $3$ .

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