If we add two irrational numbers the resulting number

  1. Is always an rational number 
  2. Is always an irrational number
  3. May be a rational or an irrational number
  4. Always an integer

Answer (Detailed Solution Below)

Option 3 : May be a rational or an irrational number
Free
RRB Group D Full Test 1
100 Qs. 100 Marks 90 Mins

Detailed Solution

Download Solution PDF

Concept:

  • Rational numbers are those numbers that show the ratio of numbers or the number which we get after dividing it with any two integers.
  • Irrational numbers are those numbers that we can not represent in the form of simple fractions a/b, and b is not equal to zero.
  • When we add any two rational numbers then their sum will always remain rational.
  • But if we add an irrational number with a rational number then the sum will always be an irrational number.

 

Explanation:

Case:1 Take two irrational numbers π and 1 - π

⇒ Sum =  π +1 - π = 1

Which is a rational number.

Case:2 Take two irrational numbers π and √2 

⇒ Sum =  π + √2

Which is an irrational number.

Hence, a sum of two irrational numbers may be a rational or an irrational number.

Latest RRB Group D Updates

Last updated on Jul 18, 2025

-> A total of 1,08,22,423 applications have been received for the RRB Group D Exam 2025. 

-> The RRB Group D Exam Date will be announced on the official website. It is expected that the Group D Exam will be conducted in August-September 2025. 

-> The RRB Group D Admit Card 2025 will be released 4 days before the exam date.

-> The RRB Group D Recruitment 2025 Notification was released for 32438 vacancies of various level 1 posts like Assistant Pointsman, Track Maintainer (Grade-IV), Assistant, S&T, etc.

-> The minimum educational qualification for RRB Group D Recruitment (Level-1 posts) has been updated to have at least a 10th pass, ITI, or an equivalent qualification, or a NAC granted by the NCVT.

-> Check the latest RRB Group D Syllabus 2025, along with Exam Pattern.

-> The selection of the candidates is based on the CBT, Physical Test, and Document Verification.

-> Prepare for the exam with RRB Group D Previous Year Papers.

Hot Links: teen patti master plus teen patti joy teen patti master apk