\(\frac{\sqrt{7}-\sqrt{3}}{\sqrt{7}+\sqrt{3}}\) का सरल रूप कौन-सा है?

Which is the simplified form of \(\frac{\sqrt{7}-\sqrt{3}}{\sqrt{7}+\sqrt{3}}\)?

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

A. \(\frac{5-\sqrt{21}}{2}\)

Step 1

Concept

Multiplying by the conjugate gives (\frac{\(\sqrt{7}-\sqrt{3}\)2}{7-3}). So the answer is \(\frac{5-\sqrt{21}}{2}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{5-\sqrt{21}}{2}\). Multiplying by the conjugate gives (\frac{\(\sqrt{7}-\sqrt{3}\)2}{7-3}). So the answer is \(\frac{5-\sqrt{21}}{2}\).

Step 3

Exam Tip

संयुग्मी से गुणा करने पर (\frac{\(\sqrt{7}-\sqrt{3}\)2}{7-3}) मिलता है। इसलिए उत्तर \(\frac{5-\sqrt{21}}{2}\) है।

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Mathematics Answer, Explanation and Revision Hints

\(\frac{\sqrt{7}-\sqrt{3}}{\sqrt{7}+\sqrt{3}}\) का सरल रूप कौन-सा है? / Which is the simplified form of \(\frac{\sqrt{7}-\sqrt{3}}{\sqrt{7}+\sqrt{3}}\)?

Correct Answer: A. \(\frac{5-\sqrt{21}}{2}\). Explanation: संयुग्मी से गुणा करने पर (\frac{\(\sqrt{7}-\sqrt{3}\)2}{7-3}) मिलता है। इसलिए उत्तर \(\frac{5-\sqrt{21}}{2}\) है। / Multiplying by the conjugate gives (\frac{\(\sqrt{7}-\sqrt{3}\)2}{7-3}). So the answer is \(\frac{5-\sqrt{21}}{2}\).

Which concept should I revise for this Mathematics MCQ?

Multiplying by the conjugate gives (\frac{\(\sqrt{7}-\sqrt{3}\)2}{7-3}). So the answer is \(\frac{5-\sqrt{21}}{2}\).

What exam hint can help solve this Mathematics question?

संयुग्मी से गुणा करने पर (\frac{\(\sqrt{7}-\sqrt{3}\)2}{7-3}) मिलता है। इसलिए उत्तर \(\frac{5-\sqrt{21}}{2}\) है।