Question
Prove that if n is a perfect square,then n+2 is not perfect square
289
likes1443 views
Answer to a math question Prove that if n is a perfect square,then n+2 is not perfect square
Jett
4.797 Answers
Suppose
n=a^2
and
n+2=\:b^2
with a and b integers.
Then
b^2-a^2=2
which causes us to believe that
bβa=1 and b+a=2
or even worse,
b=1.5
β Contradiction
Frequently asked questions (FAQs)
Math Question: Find the absolute extrema of the function f(x) = x^3 - 6x^2 + 9x on the interval [-2,3].
+
Math Question: Factor the expression 10x^2 + 15x - 5 using the distributive property. (
+
Math Question: What is the limit of (3x^2 - 4)/(x^3 + 5x^2 - 2x) as x approaches 2?
+
New questions in Mathematics