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I know that √2 is irrational (and I've seen the proof).

Now, what is the fastest way to justify that 2√2, 2-√2,

Thanks!

Now, what is the fastest way to justify that 2√2, 2-√2,

^{17}√(1/2) are irrational? (they definitely "seem" to be irrational numbers to me) Can all/any these follow immediately from the fact that √2 is irrational?Thanks!

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