Find two irrational numbers lying between √2 and √3 - Mathematics

Sum

Find two irrational numbers lying between sqrt2" and "sqrt3

Solution

We know that, if a and b are two distinct positive irrational numbers, then sqrt(ab) is an irrational number lying between a and b.

∴ Irrational number between sqrt2  is = sqrt(sqrt2xxsqrt3) = 6^(

Irrational number between sqrt2 is sqrt(sqrt2xx6^(1/4)) = 2^(

Hence required irational number are 6^(

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