PROVE THE FOLLOWING STATEMENTS :

Asked by  | 14th Apr, 2008, 11:40: AM

Expert Answer:

If a number is of the type 4k + 2 it is even.

If an even number is square, then it is the square of an even number, not the square of an odd number.

Square of an even number, say 2n, is 4n^2, which is a multiple of 4. So if an even number is a square, it has to be a multiple of 4.

But 4k+2 is not a multiple of 4. When you divide it by 4 you get a remainder of 2, not zero.

Answered by  | 15th May, 2008, 09:22: PM

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