Question

Prove that if n is a perfect square,then n+2 is not perfect square

289

likes

1443 views

Answer to a math question Prove that if n is a perfect square,then n+2 is not perfect square

$Expert avatar$

Jett

4.7

97 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 b−a=1 and b+a=2 or even worse, b=1.5 — Contradiction

Frequently asked questions (FAQs)

What is the equation of a hyperbola centered at (h,k) with the vertical transverse axis, vertices at (h,k±a), foci at (h,k±c), and asymptotes of the form y = k ± a/cx?

Math question: Find the derivative of f(x) = sin(x)cos(x) + tan(x) at x = π/4.

What is the sine of an angle in a right triangle if the opposite side is 4 cm and the hypotenuse is 5 cm?

New questions in Mathematics

Using a remarkable product you must factor the expression: f(x) =36x^2-324 and you are entitled to 5 steps

The gross domestic product the gdp for the United States in 2017 was approximately $2.05x10^3. If you wrote this number in standard notation , it would be 205 followed by how many zeros

2.5 / 21.85

(5u + 6)-(3u+2)=

Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll?

Find the derivatives for y=X+1/X-1

78 percent to a decimal

The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?

A test has 5 multiple choice questions. Each question has 4 alternatives, only one of which is correct. A student who did not study for the test randomly chooses one alternative for each question.(a) What is the probability of him getting a zero on the test?(b) What is the probability of him getting a three or more? The maximum mark for the test is 5, with each question worth one point.