\(\frac{1}{\sqrt{3}+\sqrt{2}}+\frac{1}{\sqrt{3}-\sqrt{2}}\) का मान क्या है?

What is the value of \(\frac{1}{\sqrt{3}+\sqrt{2}}+\frac{1}{\sqrt{3}-\sqrt{2}}\)?

Explanation opens after your attempt
Correct Answer

A. \(2\sqrt{3}\)

Step 1

Concept

The first term becomes \(\sqrt{3}-\sqrt{2}\), and the second becomes \(\sqrt{3}+\sqrt{2}\), so the sum is \(2\sqrt{3}\). In exams, rationalize both denominators separately.

Step 2

Why this answer is correct

The correct answer is A. \(2\sqrt{3}\). The first term becomes \(\sqrt{3}-\sqrt{2}\), and the second becomes \(\sqrt{3}+\sqrt{2}\), so the sum is \(2\sqrt{3}\). In exams, rationalize both denominators separately.

Step 3

Exam Tip

पहला पद \(\sqrt{3}-\sqrt{2}\) और दूसरा पद \(\sqrt{3}+\sqrt{2}\) बनता है, इसलिए योग \(2\sqrt{3}\) है। परीक्षा में दोनों हरों को अलग-अलग परिमेय बनाएं।

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FAQs

Mathematics Answer, Explanation and Revision Hints

\(\frac{1}{\sqrt{3}+\sqrt{2}}+\frac{1}{\sqrt{3}-\sqrt{2}}\) का मान क्या है? / What is the value of \(\frac{1}{\sqrt{3}+\sqrt{2}}+\frac{1}{\sqrt{3}-\sqrt{2}}\)?

Correct Answer: A. \(2\sqrt{3}\). Explanation: पहला पद \(\sqrt{3}-\sqrt{2}\) और दूसरा पद \(\sqrt{3}+\sqrt{2}\) बनता है, इसलिए योग \(2\sqrt{3}\) है। परीक्षा में दोनों हरों को अलग-अलग परिमेय बनाएं। / The first term becomes \(\sqrt{3}-\sqrt{2}\), and the second becomes \(\sqrt{3}+\sqrt{2}\), so the sum is \(2\sqrt{3}\). In exams, rationalize both denominators separately.

Which concept should I revise for this Mathematics MCQ?

The first term becomes \(\sqrt{3}-\sqrt{2}\), and the second becomes \(\sqrt{3}+\sqrt{2}\), so the sum is \(2\sqrt{3}\). In exams, rationalize both denominators separately.

What exam hint can help solve this Mathematics question?

पहला पद \(\sqrt{3}-\sqrt{2}\) और दूसरा पद \(\sqrt{3}+\sqrt{2}\) बनता है, इसलिए योग \(2\sqrt{3}\) है। परीक्षा में दोनों हरों को अलग-अलग परिमेय बनाएं।