MathMaster logo

MathMaster

  1. Home
  2. general
  3. prove that if n is a perfect square then n 2 is not perfect square
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 area of a circle with a radius of 5 centimeters?
+
Math question: What is the limit of (2x^3 - 5x^2 + 7x - 3) as x approaches 2?
+
What is the value of f(3) for the exponential function f(x) = 10^x? And what is the value of f(3) for the function f(x) = e^x?
+
New questions in Mathematics
2+2
The random variable Y is defined as the sum between two different integers selected at random between -4 and 2 (both included). What are the possible values of the random variable Y? What is the value of P(Y=-3)? And whether it is less than or equal to -5?
Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is
Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)
Divide 22 by 5 solve it by array and an area model
(2b) to the 1/4th power. Write the expression in radical form.
Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll? Draw the diagram
A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.
A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?
4x/2+5x-3/6=7/8-1/4-x
In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?
Raúl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (Raúl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ¾%. Perform operations and order events from least to most probable.
There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?
2)A tourist has 15 pairs of pants in his hotel room closet. Suppose 5 are blue and the rest are black. The tourist leaves his room twice a day. He takes a pair of pants and puts them on, the tourist leaves the first pair of pants in the closet again and takes another one and puts them on. What is the probability that the two pants chosen are black?
A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?
find missing measure for triangle area = 48 m square base = 10m heaighy = ? m
solve R the following equation 4 x squared - 35 - 9 over x squared is equal to 0
the product of a 2-digit number and a 3-digit number is about 50000, what are these numbers
What js the greatest 4-digit even number that can be formed by 3,6,1,4?
A rectangular swimming pool has a length of 14 feet, a width of 26 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? cubic feet

You might be interested in