Mathematics · Modern Algebra
Consider the set G = {a + b√2 : a, b ∈ Q, the set of all rational numbers} with respect to the binary operation of usual addition. Which property fails to hold for G to be a non-abelian group?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1Inverse property
- 2Identity element
- 3Associativity property
- 4Non-commutativity property✓
Correct answer
Non-commutativity property
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Modern Algebra MCQs →Want more practice questions on Modern Algebra?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Modern Algebra