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In Mathematics / High School | 2014-03-30

If \( n \) is an odd positive number, can \(\sqrt{n}\) possibly be an even number?

Asked by AlannaHormell78

Answer (2)

No, because the only way to get an even number from a square root is by having to factors that are even, and odd numbers don't have that.

Answered by MathG33k | 2024-06-10

If n is an odd positive number, then n ​ cannot be even because the square of an even number is always even, while squaring an odd number yields an odd result. Therefore, the square root of an odd number must also be an odd number. Thus, n ​ will never be an even number.
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Answered by Anonymous | 2024-12-24