Which of the following is a counterexample to the statement

[mathhurts]

Can anyone help me with this question?

Which of the following is a counterexample to the statement "The sum of two squares is an even number."



1. 3 times 3 equals 9

2. 5 times 5 equals 25

3. 7 times 7 equals 49

4. 9 times 9 equals 81

 

[Deleted member 4993]

Can anyone help me with this question?

Which of the following is a counterexample to the statement "The sum of two squares is an even number."



1. 3 times 3 equals 9

2. 5 times 5 equals 25

3. 7 times 7 equals 49

4. 9 times 9 equals 81

Did you post the "exact" problem - I do not see any "sum" in any of the answers.

 

[mathhurts]

That is exactly the way it was given to me.

 

[skeeter]

I would say #2, because \(\displaystyle 3^2 + 4^2 = 5^2\) ... none of the other given square numbers are the sum of two squares.