\(\frac{1}{6-\sqrt{5}}\) का परिमेयकृत रूप क्या है?

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

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

A. \(\frac{6+\sqrt{5}}{31}\)

Step 1

Concept

Multiplying by the conjugate makes the denominator (36-5=31). So the answer is \(\frac{6+\sqrt{5}}{31}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{6+\sqrt{5}}{31}\). Multiplying by the conjugate makes the denominator (36-5=31). So the answer is \(\frac{6+\sqrt{5}}{31}\).

Step 3

Exam Tip

संयुग्मी से गुणा करने पर हर (36-5=31) बनता है। इसलिए उत्तर \(\frac{6+\sqrt{5}}{31}\) है।

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Mathematics Answer, Explanation and Revision Hints

\(\frac{1}{6-\sqrt{5}}\) का परिमेयकृत रूप क्या है? / What is the rationalised form of \(\frac{1}{6-\sqrt{5}}\)?

Correct Answer: A. \(\frac{6+\sqrt{5}}{31}\). Explanation: संयुग्मी से गुणा करने पर हर (36-5=31) बनता है। इसलिए उत्तर \(\frac{6+\sqrt{5}}{31}\) है। / Multiplying by the conjugate makes the denominator (36-5=31). So the answer is \(\frac{6+\sqrt{5}}{31}\).

Which concept should I revise for this Mathematics MCQ?

Multiplying by the conjugate makes the denominator (36-5=31). So the answer is \(\frac{6+\sqrt{5}}{31}\).

What exam hint can help solve this Mathematics question?

संयुग्मी से गुणा करने पर हर (36-5=31) बनता है। इसलिए उत्तर \(\frac{6+\sqrt{5}}{31}\) है।