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)

Math question: What is the limit as x approaches infinity of (3x^2 + 5x + 2) / (2x^2 + x - 3)?

What is the maximum value of f(x) = 3x^2 + 5x - 1 in the interval [0, 2]?

Question: "Graph the logarithmic function f(x) = log(base 2)(x) on the coordinate plane. Determine the x-intercept, y-intercept, and maximum domain of the graph."

New questions in Mathematics

-6n+5=-13

A car tire can rotate at a frequency of 3000 revolutions per minute. Given that a typical tire radius is 0.5 m, what is the centripetal acceleration of the tire?

what is 9% of 307

What payment 7 months from now would be equivalent in value to a $3,300 payment due 23 months from now? The value of money is 2.7% simple interest. Round your answer to 2 decimal places. Show all work and how you arrive at the answer..

The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly

A bird randomly chooses to land on 1 of 12 perches available in its aviary. Determine the Probability of it landing on a perch numbered 8 and then on a perch marked with a prime number; take into account that he never lands on the same perch in the sequence.

Supposed 60% of the register voters in a country or democrat. If a sample of 793 voters is selected, what is the probability that the sample proportion of Democrats will be greater than 64% round your answer to four decimal places

The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?

Log(45)

A person borrows rm 1000 from a bank at an interest rate of 10%. After some time, he pays the bank rm 1900 as full and final settlement of the loan. Estimate the duration of his loan.

Reparameterize the curve r(t)= cos(t)i without (t)j (t)k by the arc length.