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rational-irrational-product MCQ Questions for Class 10

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4 questions tagged with rational-irrational-product.

Question 1/4 Easy Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 25

कौन सा विकल्प परिमेय संख्या और अपरिमेय संख्या के गुणनफल का उदाहरण है जो अपरिमेय है?

Which option is an example of the product of a rational and an irrational number that is irrational?

Explanation opens after your attempt
Correct Answer

A. \(5\times\sqrt{3}\)

Step 1

Concept

(5) is a non zero rational number so \(5\sqrt{3}\) is irrational. Remember multiplication by (0) gives (0).

Step 2

Why this answer is correct

The correct answer is A. \(5\times\sqrt{3}\). (5) is a non zero rational number so \(5\sqrt{3}\) is irrational. Remember multiplication by (0) gives (0).

Step 3

Exam Tip

(5) गैर शून्य परिमेय है इसलिए \(5\sqrt{3}\) अपरिमेय है। ध्यान रखें (0) से गुणा करने पर परिणाम (0) होता है।

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Question 2/4 Medium Mathematics Real Numbers Irrational numbers Class 10 Level 15

कौन-सा विकल्प परिमेय संख्या और अपरिमेय संख्या का ऐसा गुणनफल दिखाता है जो अपरिमेय है?

Which option shows the product of a rational number and an irrational number that is irrational?

Explanation opens after your attempt
Correct Answer

B. \(6\times\sqrt{19}\)

Step 1

Concept

(6) is a non-zero rational number and \(\sqrt{19}\) is irrational.

Step 2

Why this answer is correct

\(6\sqrt{19}\) remains irrational.

Step 3

Exam Tip

Multiplication by zero is a special case, so focus on non-zero rational factors. चरण 1: (6) अशून्य परिमेय है और \(\sqrt{19}\) अपरिमेय है। चरण 2: \(6\sqrt{19}\) अपरिमेय रहेगा। चरण 3: शून्य से गुणा करने का मामला अलग है, इसलिए अशून्य परिमेय पर ध्यान दें।

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Question 3/4 Medium Mathematics Real Numbers Irrational numbers Class 10 Level 14

कौन-सा विकल्प परिमेय संख्या और अपरिमेय संख्या का ऐसा गुणनफल दिखाता है जो अपरिमेय है?

Which option shows the product of a rational number and an irrational number that is irrational?

Explanation opens after your attempt
Correct Answer

B. \(4\times\sqrt{13}\)

Step 1

Concept

(4) is a non-zero rational number and \(\sqrt{13}\) is irrational.

Step 2

Why this answer is correct

\(4\sqrt{13}\) remains irrational.

Step 3

Exam Tip

Multiplication by zero is a special case, so focus on non-zero rational factors. चरण 1: (4) अशून्य परिमेय है और \(\sqrt{13}\) अपरिमेय है। चरण 2: \(4\sqrt{13}\) अपरिमेय रहेगा। चरण 3: शून्य से गुणा करने का मामला अलग है, इसलिए अशून्य परिमेय पर ध्यान दें।

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Question 4/4 Medium Mathematics Real Numbers Irrational numbers Class 10 Level 13

कौन-सा विकल्प परिमेय संख्या और अपरिमेय संख्या का गुणनफल दिखाता है जो अपरिमेय है?

Which option shows the product of a rational number and an irrational number that is irrational?

Explanation opens after your attempt
Correct Answer

B. \(3\times\sqrt{7}\)

Step 1

Concept

(3) is a non-zero rational number and \(\sqrt{7}\) is irrational.

Step 2

Why this answer is correct

\(3\sqrt{7}\) remains irrational.

Step 3

Exam Tip

Multiplication by zero is a special case, so focus on non-zero rational factors. चरण 1: (3) अशून्य परिमेय है और \(\sqrt{7}\) अपरिमेय है। चरण 2: \(3\sqrt{7}\) अपरिमेय रहेगा। चरण 3: शून्य से गुणा करने का मामला अलग होता है, इसलिए अशून्य परिमेय पर ध्यान दें।

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