Expert Mathematics Polynomials Class 10 Level 27

किस विकल्प में अपरिमेय संख्या को परिमेय संख्या में बदलने के लिए सही संयुग्मी चुना गया है?

In which option is the correct conjugate chosen to rationalize an irrational denominator?

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{5+\sqrt{2}}\) के लिए \(5-\sqrt{2}\)For \(\frac{1}{5+\sqrt{2}}\) use \(5-\sqrt{2}\)

Step 1

Concept

The conjugate of \(5+\sqrt{2}\) is \(5-\sqrt{2}\). In exams changing the middle sign is the key idea of a conjugate.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{1}{5+\sqrt{2}}\) के लिए \(5-\sqrt{2}\) / For \(\frac{1}{5+\sqrt{2}}\) use \(5-\sqrt{2}\). The conjugate of \(5+\sqrt{2}\) is \(5-\sqrt{2}\). In exams changing the middle sign is the key idea of a conjugate.

Step 3

Exam Tip

\(5+\sqrt{2}\) का संयुग्मी \(5-\sqrt{2}\) है। परीक्षा में बीच का चिन्ह बदलना ही संयुग्मी बनाने की मुख्य बात है।

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Mathematics Answer, Explanation and Revision Hints

किस विकल्प में अपरिमेय संख्या को परिमेय संख्या में बदलने के लिए सही संयुग्मी चुना गया है? / In which option is the correct conjugate chosen to rationalize an irrational denominator?

Correct Answer: A. \(\frac{1}{5+\sqrt{2}}\) के लिए \(5-\sqrt{2}\) / For \(\frac{1}{5+\sqrt{2}}\) use \(5-\sqrt{2}\). Explanation: \(5+\sqrt{2}\) का संयुग्मी \(5-\sqrt{2}\) है। परीक्षा में बीच का चिन्ह बदलना ही संयुग्मी बनाने की मुख्य बात है। / The conjugate of \(5+\sqrt{2}\) is \(5-\sqrt{2}\). In exams changing the middle sign is the key idea of a conjugate.

Which concept should I revise for this Mathematics MCQ?

The conjugate of \(5+\sqrt{2}\) is \(5-\sqrt{2}\). In exams changing the middle sign is the key idea of a conjugate.

What exam hint can help solve this Mathematics question?

\(5+\sqrt{2}\) का संयुग्मी \(5-\sqrt{2}\) है। परीक्षा में बीच का चिन्ह बदलना ही संयुग्मी बनाने की मुख्य बात है।

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