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3 results found for "rational-irrational-product" in Class 10.

Question Medium Mathematics Chapter 1: Real Numbers 5: 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 Medium Mathematics Chapter 1: Real Numbers 5: 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 Medium Mathematics Chapter 1: Real Numbers 5: 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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