\( \frac{1}{3\sqrt{2}+2\sqrt{5}} \) का परिमेय हर वाला रूप क्या है?

What is the rationalised form of \( \frac{1}{3\sqrt{2}+2\sqrt{5}} \)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

B. \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \)

Step 1

Concept

Multiplying by the conjugate gives denominator (18-20=-2). So the form can be written as \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \).

Step 2

Why this answer is correct

The correct answer is B. \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \). Multiplying by the conjugate gives denominator (18-20=-2). So the form can be written as \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \).

Step 3

Exam Tip

संयुग्मी से गुणा करने पर हर (18-20=-2) मिलता है। इसलिए रूप \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \) लिखा जा सकता है।

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Mathematics Answer, Explanation and Revision Hints

\( \frac{1}{3\sqrt{2}+2\sqrt{5}} \) का परिमेय हर वाला रूप क्या है? / What is the rationalised form of \( \frac{1}{3\sqrt{2}+2\sqrt{5}} \)?

Correct Answer: B. \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \). Explanation: संयुग्मी से गुणा करने पर हर (18-20=-2) मिलता है। इसलिए रूप \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \) लिखा जा सकता है। / Multiplying by the conjugate gives denominator (18-20=-2). So the form can be written as \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \).

Which concept should I revise for this Mathematics MCQ?

Multiplying by the conjugate gives denominator (18-20=-2). So the form can be written as \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \).

What exam hint can help solve this Mathematics question?

संयुग्मी से गुणा करने पर हर (18-20=-2) मिलता है। इसलिए रूप \( \frac{2\sqrt{5}-3\sqrt{2}}{2} \) लिखा जा सकता है।