Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. prove the following theorem. if n is a positive in

Prove the following theorem. If n is a positive integer such that n ≡ 2 (mod...

70.2K

Verified Solution

Question

Advance Math

Prove the following theorem. If n is a positive integer suchthat n ≡ 2 (mod 4) or n ≡ 3 (mod 4), then n is not a perfectsquare.

Answer & Explanation Solved by verified expert
4.1 Ratings (652 Votes)
Suppose n is an positive integer of the form mod 4 n 4k 2for some positive integer k Now if n is a perfect integer then there exist an positiveinteger m such that iis    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

ECON350 Tue or False Practice Questions (week 5) 1. It is often the case that purchasing...

Finance
Q

The normal distribution is a special distribution of quantitative data that has a symmetric Bell-shape. Data, such...

Basic Math
Q

The potential energy of a particle of mass 5 kg moving in xy plane is...

Physics
Q

Stonewall Exteriors is pouring concrete for a fountain they are installing They need concrete for...

Basic Math
Q

If a statement and its converse are both true which of the other forms inverse...

Basic Math
Q

Which statement about weight loss isNOT true?A. Fad diets are not a healthy way to...

Basic Math
Q

3. Evin is walking home from the museum. She starts 38 blocks from home and...

Basic Math
Q

4 What is the median price for a snowboard at Middletown Snowboards 55 60 65...

Statistics
Q

Inventory information for Sun Corp. is provided in real time by a firm's accounting information...

Accounting
Q

Polaski Company manufactures and sells a single product called a Ret. Operating at capacity, the...

Accounting
Q

browning company issued long-term debt of 230, paid dividends of 10 and issued capital stock...

Accounting
Q

On September 1, 201X, Dan Potter opened an auto repair shop. Here is his chart...

Accounting