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Square them both, find a non-square integer between those two results, and then take the square root of that number.

In other words, find a non-square integer between 25 and 49, and since there is only one square number between them, 36, that should be easy; let's pick 42, and then take the square root of it.

Ta da! √42 is an irrational number between 5 and 7, its first 30 digits being 6.48074069840786023096596743608.

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Q: How do you find an irrational number between the twin primes 5 and 7?
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