M mathhurts New member Joined Jan 27, 2008 Messages 19 Jan 27, 2008 #1 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

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

S Subhotosh Khan Super Moderator Staff member Joined Jun 18, 2007 Messages 18,149 Jan 27, 2008 #2 mathhurts said: 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 Click to expand... Did you post the "exact" problem - I do not see any "sum" in any of the answers.

mathhurts said: 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 Click to expand... Did you post the "exact" problem - I do not see any "sum" in any of the answers.

M mathhurts New member Joined Jan 27, 2008 Messages 19 Jan 27, 2008 #3 That is exactly the way it was given to me.

skeeter Senior Member Joined Dec 15, 2005 Messages 2,396 Jan 27, 2008 #4 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.

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.