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

Name: Solved: Prove that if n is a perfect square,then n+2 is not perfect square - MathMaster
Brand: MathMaster
Rating: 4.9 (289 reviews)

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 radian measure for an angle that rotates three-thirds of a quarter circle counterclockwise?

Math question: Find the equation of a line with slope 3 and y-intercept 4.

Question: What is the square root of 81? How does it compare to the square root of 64? Would √81 + √64 be greater than, equal to, or smaller than 13.5? Explain your reasoning.

New questions in Mathematics

Students Ana Beatriz and Paula decided to register on a website with exercises to study for upcoming simulations, but to register on this website, they need to choose a password consisting of five characters, three numbers and two letters (capital letters). or lowercase). Letters and numbers can be in any position. They know that the alphabet is made up of twenty-six letters and that an uppercase letter differs from a lowercase letter in a password. What is the total number of possible passwords for registering on this site?

Hey👋🏻 Tap "Create New Task" to send your math problem. One of our experts will start working on it right away!

431414-1*(11111-1)-4*(5*3)

In a random sample of 600 families in the Metropolitan Region that have cable television service, it is found that 460 are subscribed to the Soccer Channel (CDF). How large a sample is required to be if we want to be 95% confident that the estimate of “p” is within 0.03?

Consider numbers from 1 to 2023. We want to delete 3 consecutive, so that the avarage of the left numbers is a whole number. How do we do that

Two events E and F are ________ if the occurrence of event E in a probability experiment does not affect the probability of event F.

Suppose a large shipment of cell phones contain 21% defective. If the sample of size 204 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 4% round your answer to four decimal places

Equivalent expression of the sequence (3n-4)-(n-2)

A regional candy factory sells a guava roll at a price of $48, the monthly fixed costs amount to $125,000 and the variable cost for making a guava roll is $28. Determine: a) The equation of the total income from the production of guava rolls.

There are four times as many roses as tulips in Claire’s garden. Claire picked half of the number of roses and 140 roses were left in the garden. How many roses and tulips were in the Garden the first?

solve for x 50x+ 120 (176-x)= 17340