Answer and Explanation:
To prove : The square of any even number is always a multiple of 4.
Proof :
The even numbers is defined as number end with 0,2,4,6,8 or the even number are multiple of 2.
Let the general even number be '2n'.
Squaring the number [tex](2n)^2=2^2\times n^2[/tex]
[tex](2n)^2=4n^2[/tex]
As 4 is the multiple of n².
So, If we square any even number it is always a multiple of 4.
For example,
[tex]2^2=4=4\times 1\\4^2=16=4\times 4\\6^2=36=4\times 9\\8^2=64=4\times 16[/tex]
Hence proved.
