Search Class 10 Questions

2 results found for "nonzero-rational" in Class 10.

Question Medium Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 13

यदि \(\sqrt{p}\) अपरिमेय है और (k) अशून्य परिमेय है, तो \(k\sqrt{p}\) कैसी संख्या होगी?

If \(\sqrt{p}\) is irrational and (k) is a non-zero rational number, what type of number is \(k\sqrt{p}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

A non-zero rational multiplier does not remove irrationality.

Step 2

Why this answer is correct

For example, \(4\sqrt{3}\) remains irrational.

Step 3

Exam Tip

The non-zero condition is important because multiplying by (0) gives (0). चरण 1: अशून्य परिमेय गुणक अपरिमेयता को समाप्त नहीं करता। चरण 2: जैसे \(4\sqrt{3}\) अपरिमेय रहता है। चरण 3: यहां अशून्य शर्त जरूरी है क्योंकि (0) से गुणा करने पर परिणाम (0) होगा।

Open Question Page
Ask Friends
Question Easy Mathematics Chapter 1: Real Numbers 5: Irrational numbers Class 10 Level 14

यदि (a) अपरिमेय है और (r) अशून्य परिमेय है, तो (ra) किस प्रकार की संख्या होगी?

If (a) is irrational and (r) is a non-zero rational number, what type of number is (ra)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेयIrrational

Step 1

Concept

A non-zero rational multiplier does not remove irrationality.

Step 2

Why this answer is correct

For example, \(3\sqrt{2}\) is irrational.

Step 3

Exam Tip

The non-zero condition is important because multiplying by zero gives zero. चरण 1: अशून्य परिमेय गुणक अपरिमेयता को समाप्त नहीं करता। चरण 2: जैसे \(3\sqrt{2}\) अपरिमेय है। चरण 3: यहां अशून्य शर्त जरूरी है क्योंकि शून्य से गुणा करने पर परिणाम शून्य होगा।

Open Question Page
Ask Friends
Student Class Required

Select your class first

Quiz questions, daily challenge and practice pages will open according to your selected class. Class 11/12 ke liye stream bhi select karein.