Class 10 Exam > Class 10 Questions > The product of a non-zero number and an irrat...
Start Learning for Free
The product of a non-zero number and an irrational number is:
- a)always irrational
- b)always rational
- c)rational or irrational
- d)one
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The product of a non-zero number and an irrational number is:a)always ...
Product of a non-zero rational and an irrational number is always irrational.
i.e., 
Most Upvoted Answer
The product of a non-zero number and an irrational number is:a)always ...
Irrational as as any number multiplied to an irrational number results as irrational number.
eg. 2√3
here 2 is non zero number
but √3 is irrational
the product is 2√3 which is irrational
proof:
let 2√3 is rational number which can be written in the form
2√3=p/q---1(p and q are co prime integers and q≠0)
dividing by 2 both side in 1
√3=p/2q
here p/2q is rational but √3 is irrational hence it contradicts our assumption that the assumed number is rational
hence it is irrational
eg. 2√3
here 2 is non zero number
but √3 is irrational
the product is 2√3 which is irrational
proof:
let 2√3 is rational number which can be written in the form
2√3=p/q---1(p and q are co prime integers and q≠0)
dividing by 2 both side in 1
√3=p/2q
here p/2q is rational but √3 is irrational hence it contradicts our assumption that the assumed number is rational
hence it is irrational
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer?
Question Description
The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer?.
The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer?.
Solutions for The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The product of a non-zero number and an irrational number is:a)always irrational b)always rationalc)rational or irrational d)oneCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup