Question

Is square of any irrational number always rational?Justify your answer with an example.

Answer 1

Answer:

Indeed, if x is the irrational number 7–√, say, then x2=7, which is rational. But if x is the irrational number 2–√3, say, then x2=4–√3, which is also irrational. The square of an irrational number is always rational

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