SOLUTION: the sum of two squares is an even number

Algebra.Com
Question 206269: the sum of two squares is an even number
Answer by Marth(57)   (Show Source): You can put this solution on YOUR website!
is even.
Any even number squared is even, and any odd number squared is odd.
Adding two even numbers or two odd numbers results in an even number.

is even is true for all a and b such that a and b are both even or both odd.

RELATED QUESTIONS

# 3. Find a counterexample to the statement "The sum of two squares is an even number" (answered by jim_thompson5910)
find a counterexample to the statement "the sum of two squares is an even... (answered by Alan3354)
It is an even two-digit number,the difference of the two digits is 7, and the sum of the... (answered by lwsshak3)
The sum of the squares of two consecutive positive even numbers is 20. What is the... (answered by stanbon)
The sum of the squares of two consecutive positive even numbers is 52. What is the... (answered by checkley77)
The sum of two odd numbers is even. The sum of two odd numbers is odd.... (answered by shaux)
It is an even two digit number . One half the number is 5 more than the number of days in (answered by Edwin McCravy)
The sum of the squares of two consecutive even numbers is 84 more than the square of the... (answered by jorel1380,ankor@dixie-net.com)
The sum of the squares of two consecutive even integers is 100. Find the two... (answered by checkley71)