Medium Mathematics Chapter 1: Real Numbers Class 10 Level 18

कौन सा विकल्प \(\sqrt{2}\) और \(\sqrt{5}\) के प्रमाणों का सही अंतर बताता है?

Which option gives the correct difference between the proofs of \(\sqrt{2}\) and \(\sqrt{5}\)?

Explanation opens after your attempt
Correct Answer

A. \(\sqrt{2}\) में साझा गुणनखंड (2) मिलता है, \(\sqrt{5}\) में साझा गुणनखंड (5) मिलता हैIn \(\sqrt{2}\), common factor (2) is found; in \(\sqrt{5}\), common factor (5) is found

Step 1

Concept

In \(\sqrt{2}\)'s proof, factor (2) comes from \(p^2=2q^2\).

Step 2

Why this answer is correct

In \(\sqrt{5}\)'s proof, factor (5) comes from \(p^2=5q^2\).

Step 3

Exam Tip

The number under the root becomes the key factor. चरण 1: \(\sqrt{2}\) के प्रमाण में \(p^2=2q^2\) से गुणनखंड (2) आता है। चरण 2: \(\sqrt{5}\) के प्रमाण में \(p^2=5q^2\) से गुणनखंड (5) आता है। चरण 3: मूल के अंदर की संख्या मुख्य गुणनखंड बनती है।

FAQs

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What is the correct answer to this Mathematics MCQ?

The correct answer is A. \(\sqrt{2}\) में साझा गुणनखंड (2) मिलता है, \(\sqrt{5}\) में साझा गुणनखंड (5) मिलता है / In \(\sqrt{2}\), common factor (2) is found; in \(\sqrt{5}\), common factor (5) is found.

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