यदि \(x=\sqrt{3}+\sqrt{2}\) और \(y=\sqrt{3}-\sqrt{2}\) हैं, तो \(\frac{x}{y}\) का मान क्या है?

If \(x=\sqrt{3}+\sqrt{2}\) and \(y=\sqrt{3}-\sqrt{2}\), what is the value of \(\frac{x}{y}\)?

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

A. \(5+2\sqrt{6}\)

Step 1

Concept

The conjugate of the denominator is \(\sqrt{3}+\sqrt{2}\) and the denominator becomes (1). So the value is (\(\sqrt{3}+\sqrt{2}\)2=5+2\sqrt{6}).

Step 2

Why this answer is correct

The correct answer is A. \(5+2\sqrt{6}\). The conjugate of the denominator is \(\sqrt{3}+\sqrt{2}\) and the denominator becomes (1). So the value is (\(\sqrt{3}+\sqrt{2}\)2=5+2\sqrt{6}).

Step 3

Exam Tip

हर का संयुग्मी \(\sqrt{3}+\sqrt{2}\) है और हर (1) बनता है। इसलिए मान (\(\sqrt{3}+\sqrt{2}\)2=5+2\sqrt{6}) है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(x=\sqrt{3}+\sqrt{2}\) और \(y=\sqrt{3}-\sqrt{2}\) हैं, तो \(\frac{x}{y}\) का मान क्या है? / If \(x=\sqrt{3}+\sqrt{2}\) and \(y=\sqrt{3}-\sqrt{2}\), what is the value of \(\frac{x}{y}\)?

Correct Answer: A. \(5+2\sqrt{6}\). Explanation: हर का संयुग्मी \(\sqrt{3}+\sqrt{2}\) है और हर (1) बनता है। इसलिए मान (\(\sqrt{3}+\sqrt{2}\)2=5+2\sqrt{6}) है। / The conjugate of the denominator is \(\sqrt{3}+\sqrt{2}\) and the denominator becomes (1). So the value is (\(\sqrt{3}+\sqrt{2}\)2=5+2\sqrt{6}).

Which concept should I revise for this Mathematics MCQ?

The conjugate of the denominator is \(\sqrt{3}+\sqrt{2}\) and the denominator becomes (1). So the value is (\(\sqrt{3}+\sqrt{2}\)2=5+2\sqrt{6}).

What exam hint can help solve this Mathematics question?

हर का संयुग्मी \(\sqrt{3}+\sqrt{2}\) है और हर (1) बनता है। इसलिए मान (\(\sqrt{3}+\sqrt{2}\)2=5+2\sqrt{6}) है।