\(\frac{3}{\sqrt{2}+1}\) का परिमेयकृत रूप कौन-सा है?

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

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

C. \(3\sqrt{2}-3\)

Step 1

Concept

Multiplying by the conjugate \(\sqrt{2}-1\) gives (3\(\sqrt{2}-1\)). So the form is \(3\sqrt{2}-3\).

Step 2

Why this answer is correct

The correct answer is C. \(3\sqrt{2}-3\). Multiplying by the conjugate \(\sqrt{2}-1\) gives (3\(\sqrt{2}-1\)). So the form is \(3\sqrt{2}-3\).

Step 3

Exam Tip

हर के संयुग्मी \(\sqrt{2}-1\) से गुणा करने पर (3\(\sqrt{2}-1\)) मिलता है। इसलिए रूप \(3\sqrt{2}-3\) है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

\(\frac{3}{\sqrt{2}+1}\) का परिमेयकृत रूप कौन-सा है? / Which is the rationalised form of \(\frac{3}{\sqrt{2}+1}\)?

Correct Answer: C. \(3\sqrt{2}-3\). Explanation: हर के संयुग्मी \(\sqrt{2}-1\) से गुणा करने पर (3\(\sqrt{2}-1\)) मिलता है। इसलिए रूप \(3\sqrt{2}-3\) है। / Multiplying by the conjugate \(\sqrt{2}-1\) gives (3\(\sqrt{2}-1\)). So the form is \(3\sqrt{2}-3\).

Which concept should I revise for this Mathematics MCQ?

Multiplying by the conjugate \(\sqrt{2}-1\) gives (3\(\sqrt{2}-1\)). So the form is \(3\sqrt{2}-3\).

What exam hint can help solve this Mathematics question?

हर के संयुग्मी \(\sqrt{2}-1\) से गुणा करने पर (3\(\sqrt{2}-1\)) मिलता है। इसलिए रूप \(3\sqrt{2}-3\) है।