Question

Prove that square of any positive even integer is always even.

Answer 1

HEY MATE HERE IS YOUR ANSWER:


Suppose n=2mn=2m is an even integer. Since n=2mn=2m , then n2=(2m)2n2=(2m)2
n2n2 = (2m)2(2m)2 = 4m24m2
=2(2m2)2(2m2)
Since (2m2)(2m2) is an integer and 2(2m2)2(2m2) is in the form 2m2m , we have proven that the square of an even integer is even.


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Answer 2

Answer:

Qed

Step-by-step explanation:

We can represent eve n number by 2n

So square wouldbe 4n^2

= 2×(2n^2) = even

Qed