CBSE Class 10 Answered
Prove that ..
Asked by | 08 Mar, 2008, 09:48: PM
Expert Answer
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 | 17 Mar, 2008, 02:24: PM
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