square numbers and algerbra. Please help!

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• Sep 7th 2012, 11:37 AM
shamrock888
square numbers and algerbra. Please help!
this is a GCSE top set question please help if you can!

Any square number which is even, is always a multiple of 4. explain why using algerbra(Thinking)
• Sep 7th 2012, 12:04 PM
skeeter
Re: square numbers and algerbra. Please help!
all even numbers can be written in the form $2k$ , where $k$ is an integer.

so ... what can you say about $(2k)^2$ ?