\(\frac{1}{\sqrt{6}+1}\) को परिमेयकृत करने पर क्या मिलेगा?

What is obtained by rationalising \(\frac{1}{\sqrt{6}+1}\)?

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

C. \(\frac{\sqrt{6}-1}{5}\)

Step 1

Concept

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

Step 2

Why this answer is correct

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

Step 3

Exam Tip

संयुग्मी से गुणा करने पर हर (6-1=5) बनता है। इसलिए परिमेयकृत रूप \(\frac{\sqrt{6}-1}{5}\) है।

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Mathematics Answer, Explanation and Revision Hints

\(\frac{1}{\sqrt{6}+1}\) को परिमेयकृत करने पर क्या मिलेगा? / What is obtained by rationalising \(\frac{1}{\sqrt{6}+1}\)?

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

Which concept should I revise for this Mathematics MCQ?

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

What exam hint can help solve this Mathematics question?

संयुग्मी से गुणा करने पर हर (6-1=5) बनता है। इसलिए परिमेयकृत रूप \(\frac{\sqrt{6}-1}{5}\) है।