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Question Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 17

\(\sqrt{5}\) के प्रमाण में \(a^2=5b^2\) से कौन सा सही पहला निष्कर्ष मिलता है?

In the proof of \(\sqrt{5}\), what is the correct first conclusion from \(a^2=5b^2\)?

Explanation opens after your attempt
Correct Answer

A. \(a^2\) (5) से विभाज्य है\(a^2\) is divisible by (5)

Step 1

Concept

The right side of the equation is \(5b^2\).

Step 2

Why this answer is correct

Therefore the left side \(a^2\) is also divisible by (5).

Step 3

Exam Tip

First write divisibility of the square, then of the original number. चरण 1: समीकरण में दाईं ओर \(5b^2\) है। चरण 2: इसलिए बाईं ओर \(a^2\) भी (5) से विभाज्य होगा। चरण 3: पहले वर्ग की विभाज्यता लिखें, फिर मूल संख्या की।

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Question Easy Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 18

\(\sqrt{5}\) के प्रमाण में \(p^2=5q^2\) से पहला सही निष्कर्ष कौन सा है?

In the proof of \(\sqrt{5}\), what is the first correct conclusion from \(p^2=5q^2\)?

Explanation opens after your attempt
Correct Answer

C. \(p^2\) (5) से विभाज्य है\(p^2\) is divisible by (5)

Step 1

Concept

In \(p^2=5q^2\), the right side has factor (5).

Step 2

Why this answer is correct

Therefore \(p^2\) is divisible by (5).

Step 3

Exam Tip

First write divisibility of the square, then conclude about (p). चरण 1: \(p^2=5q^2\) में दाईं ओर (5) गुणनखंड है। चरण 2: इसलिए \(p^2\) (5) से विभाज्य है। चरण 3: पहले वर्ग की विभाज्यता लिखें, फिर (p) के बारे में निष्कर्ष लें।

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