Question
Download Solution PDFIf we add two irrational numbers the resulting number
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
- 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.
Last updated on Jul 11, 2025
-> The RRB NTPC Admit Card 2025 has been released on 1st June 2025 on the official website.
-> The RRB Group D Exam Date will be soon announce on the official website. Candidates can check it through here about the exam schedule, admit card, shift timings, exam patten and many more.
-> A total of 1,08,22,423 applications have been received for the RRB Group D Exam 2025.
-> 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 National Apprenticeship Certificate (NAC) granted by the NCVT.
-> This is an excellent opportunity for 10th-pass candidates with ITI qualifications as they are eligible for these posts.
-> 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.