Expert Mathematics Chapter 1: Real Numbers Class 10 Level 15

कौन सा विकल्प अपरिमेय संख्या का सही दशमलव उदाहरण है?

Which option is a correct decimal example of an irrational number?

Explanation opens after your attempt
Correct Answer

B. \(2.12112111211112\ldots\) जिसमें कोई आवर्ती समूह नहीं है\(2.12112111211112\ldots\) with no repeating block

Step 1

Concept

Terminating or recurring decimals are rational.

Step 2

Why this answer is correct

The given decimal is non-terminating and has no fixed repeating block, so it is irrational.

Step 3

Exam Tip

Decide by checking repetition, not just by seeing many digits. चरण 1: समाप्त या आवर्ती दशमलव परिमेय होते हैं। चरण 2: दिया गया दशमलव अनंत है और उसमें कोई स्थिर आवर्ती समूह नहीं है इसलिए वह अपरिमेय है। चरण 3: केवल लंबा दशमलव देखकर नहीं बल्कि आवृत्ति देखकर निर्णय लें।

FAQs

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. \(2.12112111211112\ldots\) जिसमें कोई आवर्ती समूह नहीं है / \(2.12112111211112\ldots\) with no repeating block.

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