SOLUTION: Prove that if 'n' is a positive integer, and 'n^2' is even, then n is also even.
Thank You for your help!
Algebra.Com
Question 169478: Prove that if 'n' is a positive integer, and 'n^2' is even, then n is also even.
Thank You for your help!
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
If 2 even integers are multiplied the result is always even.
When squaring an even integer two even integers are multiplied.
.
Ed
RELATED QUESTIONS
Prove: If n is an integer, then n^2 + n^3 is an even... (answered by jim_thompson5910)
Prove that for every positive integer n, n3 + n is... (answered by jim_thompson5910)
prove that for every positive integer n, n3
+ n is even
(answered by solver91311)
Help with a proof, please.
Here is the example and solution:
Q: Show that if n is an... (answered by richard1234)
For positive integer values of N, let N be defined as:
N = 2 + 4 + 6 + ... + N, if N (answered by Edwin McCravy)
Prove algebraically that
(2n+1)^2-(2n+1) is an even number
for all positive integer... (answered by Fombitz,amalm06,ikleyn,MathTherapy)
Using direct proof, prove that if n is a natural number, then n(n+1) is... (answered by Theo)
Prove that n^2-n is always... (answered by math_tutor2020,greenestamps)
Write an indirect proof. If n/2 is an integer, then n is even.
(answered by wgunther)