\(\frac{1}{\sqrt{5}+\sqrt{3}}+\frac{1}{\sqrt{5}-\sqrt{3}}\) का मान क्या है?

What is the value of \(\frac{1}{\sqrt{5}+\sqrt{3}}+\frac{1}{\sqrt{5}-\sqrt{3}}\)?

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

A. \(\sqrt{5}\)

Step 1

Concept

The first term becomes \(\frac{\sqrt{5}-\sqrt{3}}{2}\) and the second becomes \(\frac{\sqrt{5}+\sqrt{3}}{2}\). Their sum is \(\sqrt{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(\sqrt{5}\). The first term becomes \(\frac{\sqrt{5}-\sqrt{3}}{2}\) and the second becomes \(\frac{\sqrt{5}+\sqrt{3}}{2}\). Their sum is \(\sqrt{5}\).

Step 3

Exam Tip

पहला पद \(\frac{\sqrt{5}-\sqrt{3}}{2}\) और दूसरा \(\frac{\sqrt{5}+\sqrt{3}}{2}\) बनता है। योग \(\sqrt{5}\) है।

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Mathematics Answer, Explanation and Revision Hints

\(\frac{1}{\sqrt{5}+\sqrt{3}}+\frac{1}{\sqrt{5}-\sqrt{3}}\) का मान क्या है? / What is the value of \(\frac{1}{\sqrt{5}+\sqrt{3}}+\frac{1}{\sqrt{5}-\sqrt{3}}\)?

Correct Answer: A. \(\sqrt{5}\). Explanation: पहला पद \(\frac{\sqrt{5}-\sqrt{3}}{2}\) और दूसरा \(\frac{\sqrt{5}+\sqrt{3}}{2}\) बनता है। योग \(\sqrt{5}\) है। / The first term becomes \(\frac{\sqrt{5}-\sqrt{3}}{2}\) and the second becomes \(\frac{\sqrt{5}+\sqrt{3}}{2}\). Their sum is \(\sqrt{5}\).

Which concept should I revise for this Mathematics MCQ?

The first term becomes \(\frac{\sqrt{5}-\sqrt{3}}{2}\) and the second becomes \(\frac{\sqrt{5}+\sqrt{3}}{2}\). Their sum is \(\sqrt{5}\).

What exam hint can help solve this Mathematics question?

पहला पद \(\frac{\sqrt{5}-\sqrt{3}}{2}\) और दूसरा \(\frac{\sqrt{5}+\sqrt{3}}{2}\) बनता है। योग \(\sqrt{5}\) है।