Hard Mathematics Chapter 1: Real Numbers Class 10 Level 14

कौन-सा विकल्प \(3-\sqrt{2}\) की प्रकृति सही बताता है?

Which option correctly describes the nature of \(3-\sqrt{2}\)?

Explanation opens after your attempt
Correct Answer

B. अपरिमेय, क्योंकि परिमेय में से अपरिमेय घटा हैIrrational because an irrational is subtracted from a rational

Step 1

Concept

(3) is rational and \(\sqrt{2}\) is irrational.

Step 2

Why this answer is correct

A rational number minus an irrational number remains irrational.

Step 3

Exam Tip

Do not classify the whole expression by looking only at the rational part. चरण 1: (3) परिमेय है और \(\sqrt{2}\) अपरिमेय है। चरण 2: परिमेय संख्या में से अपरिमेय घटाने पर परिणाम अपरिमेय रहता है। चरण 3: केवल परिमेय पद देखकर पूरे व्यंजक को परिमेय न मानें।

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. अपरिमेय, क्योंकि परिमेय में से अपरिमेय घटा है / Irrational because an irrational is subtracted from a rational.

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