Expert Mathematics Chapter 1: Real Numbers Class 10 Level 13

किस विकल्प में संख्या अपरिमेय है, लेकिन उसका व्युत्क्रम भी अपरिमेय है?

In which option is the number irrational and its reciprocal also irrational?

Explanation opens after your attempt
Correct Answer

B. \(\sqrt{12}\)

Step 1

Concept

\(\sqrt{12}=2\sqrt{3}\) is irrational.

Step 2

Why this answer is correct

Its reciprocal \(\frac{1}{2\sqrt{3}}=\frac{\sqrt{3}}{6}\) is also irrational.

Step 3

Exam Tip

Do not assume the reciprocal of a non-zero irrational surd is rational. चरण 1: \(\sqrt{12}=2\sqrt{3}\) अपरिमेय है। चरण 2: इसका व्युत्क्रम \(\frac{1}{2\sqrt{3}}=\frac{\sqrt{3}}{6}\) भी अपरिमेय है। चरण 3: अशून्य अपरिमेय मूल के व्युत्क्रम को परिमेय मानने की गलती न करें।

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. \(\sqrt{12}\).

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