A square root of an irrational number is always irrational?

kokoszzm

kokoszzm

Answered question

2022-06-15

A square root of an irrational number is always irrational?

Answer & Explanation

Esteban Johnson

Esteban Johnson

Beginner2022-06-16Added 15 answers

Yes. The square of a rational is rational, so the identity x = ( x ) 2 tells us that if the square root is rational, the original number must be too.

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