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Sum
Find two irrational numbers lying between `sqrt2" and "sqrt3`
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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^(`
Concept: Proofs of Irrationality
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