\( \frac{1}{5+2\sqrt{6}} \) का परिमेय हर वाला रूप क्या है?

What is the rationalised form of \( \frac{1}{5+2\sqrt{6}} \)?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

D. \(5-2\sqrt{6}\)

Step 1

Concept

Multiplying by the conjugate \(5-2\sqrt{6}\) makes the denominator (25-24=1). So the rationalised form is \(5-2\sqrt{6}\).

Step 2

Why this answer is correct

The correct answer is D. \(5-2\sqrt{6}\). Multiplying by the conjugate \(5-2\sqrt{6}\) makes the denominator (25-24=1). So the rationalised form is \(5-2\sqrt{6}\).

Step 3

Exam Tip

संयुग्मी \(5-2\sqrt{6}\) से गुणा करने पर हर (25-24=1) बनता है। इसलिए परिमेय हर वाला रूप \(5-2\sqrt{6}\) है।

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Mathematics Answer, Explanation and Revision Hints

\( \frac{1}{5+2\sqrt{6}} \) का परिमेय हर वाला रूप क्या है? / What is the rationalised form of \( \frac{1}{5+2\sqrt{6}} \)?

Correct Answer: D. \(5-2\sqrt{6}\). Explanation: संयुग्मी \(5-2\sqrt{6}\) से गुणा करने पर हर (25-24=1) बनता है। इसलिए परिमेय हर वाला रूप \(5-2\sqrt{6}\) है। / Multiplying by the conjugate \(5-2\sqrt{6}\) makes the denominator (25-24=1). So the rationalised form is \(5-2\sqrt{6}\).

Which concept should I revise for this Mathematics MCQ?

Multiplying by the conjugate \(5-2\sqrt{6}\) makes the denominator (25-24=1). So the rationalised form is \(5-2\sqrt{6}\).

What exam hint can help solve this Mathematics question?

संयुग्मी \(5-2\sqrt{6}\) से गुणा करने पर हर (25-24=1) बनता है। इसलिए परिमेय हर वाला रूप \(5-2\sqrt{6}\) है।