Use app×
Ask a Question
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE

Are there two irrational numbers whose sum and product both are rationals? Justify

← Prev Question Next Question →
0 votes
7.0k views
in Number System by (49.8k points)
closed by

Are there two irrational numbers whose sum and product both are rationals? Justify

Play Quiz Game >

1 Answer

+1 vote
by (47.4k points)
selected by
 
Best answer

Yes. 

3 + √2 and 3 - √2 are two irrational numbers.

(3 + √2) + (3 - √2) = 6, a rational number. 

(3 + √2) x (3 - √2) = 7, a rational number. 

So, we have two irrational numbers whose sum and product both are rationals

← Prev Question Next Question →

Find MCQs & Mock Test

  1. JEE Main 2025 Test Series
  2. NEET Test Series
  3. Class 12 Chapterwise MCQ Test
  4. Class 11 Chapterwise Practice Test
  5. Class 10 Chapterwise MCQ Test
  6. Class 9 Chapterwise MCQ Test
  7. Class 8 Chapterwise MCQ Test
  8. Class 7 Chapterwise MCQ Test

Related questions

0 votes
1 answer
Define Irrational numbers
asked Dec 25, 2023 in Mathematics by PrashantNayak (5.7k points)
0 votes
1 answer
Which of the following is irrational? 
asked Apr 15, 2021 in Number System by Saadah (30.2k points)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

User Contribution to Sarthaks eConnect
Managed by Sarthaks Digitizing India
...