The square root of two hasn't been irrational since you've asked that question because, moments before you posed it, the Large Hadron Collider created a sprinkle-doughnut sized black hole that lived just long enough to travel to the grave of Aristotle and turn off the super-secret "universal logic" switch that he had created just hours before his death and mere seconds after he transcribed the world's first blues progression. Thus, all logic has been erased, including the simple, logical proof that the square root of two is irrational. Oh, why must I live in such a nonsensical world!
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The square root of 2 is an irrational number
This is impossible to prove, as the square root of 2 is irrational.
Sometimes it is and sometimes it isn't. The square root of 2 and the square root of 3 are both irrational, as is their product, the square root of 6. The square root of 2 and the square root of 8 are both irrational, but their product, the square root of 16, is rational (in fact, it equals 4).
The square root of 94 is an irrational number
The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.