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final-evenness MCQ Questions for Class 10

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Practice Questions

1 questions tagged with final-evenness.

Question 1/1 Expert Mathematics Chapter 1: Real Numbers 6: Proof of irrationality of √2, √3, √5 Class 10 Level 16

\(\sqrt{2}\) के प्रमाण में \(q^2=2r^2\) मिलने के बाद (q) सम क्यों है?

In the proof for \(\sqrt{2}\), after getting \(q^2=2r^2\), why is (q) even?

Explanation opens after your attempt
Correct Answer

A. क्योंकि \(q^2\) सम है, इसलिए (q) सम होगाBecause \(q^2\) is even, so (q) will be even

Step 1

Concept

From \(q^2=2r^2\), \(q^2\) is a multiple of (2).

Step 2

Why this answer is correct

So \(q^2\) is even and the integer (q) is also even.

Step 3

Exam Tip

This is the second evenness conclusion in the proof. चरण 1: \(q^2=2r^2\) से \(q^2\) (2) का गुणज है। चरण 2: इसलिए \(q^2\) सम है और पूर्णांक (q) भी सम होगा। चरण 3: यह प्रमाण का दूसरा समपन निष्कर्ष है।

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