Answer to Question #350691 in Discrete Mathematics for jae

Question #350691

Show that the square of an even number is an even number using a direct proof.


1
Expert's answer
2022-06-15T05:52:19-0400

Let "n\\in\\mathbb{Z}" - even number, so "n=2z", where "z\\in\\mathbb{Z}".


"n^2=(2k)^2=2^2k^2=2\\cdot(2k^2)" - is an even number because it is divisible by 2.


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS