\(\sqrt{2}\) के प्रमाण में \(b^2=2r^2\) मिलने पर (b) के बारे में क्या सही है?

In the proof of \(\sqrt{2}\), after getting \(b^2=2r^2\), what is true about (b)?

Author: Muft Shiksha Editorial Team Published:
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Correct Answer

C. (b) सम है(b) is even

Step 1

Concept

\(b^2\) is even, so (b) is also even. This makes both numbers even and gives contradiction.

Step 2

Why this answer is correct

The correct answer is C. (b) सम है / (b) is even. \(b^2\) is even, so (b) is also even. This makes both numbers even and gives contradiction.

Step 3

Exam Tip

\(b^2\) सम है इसलिए (b) भी सम होगा। यही दोनों को सम बनाकर विरोधाभास देता है।

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Mathematics Answer, Explanation and Revision Hints

\(\sqrt{2}\) के प्रमाण में \(b^2=2r^2\) मिलने पर (b) के बारे में क्या सही है? / In the proof of \(\sqrt{2}\), after getting \(b^2=2r^2\), what is true about (b)?

Correct Answer: C. (b) सम है / (b) is even. Explanation: \(b^2\) सम है इसलिए (b) भी सम होगा। यही दोनों को सम बनाकर विरोधाभास देता है। / \(b^2\) is even, so (b) is also even. This makes both numbers even and gives contradiction.

Which concept should I revise for this Mathematics MCQ?

\(b^2\) is even, so (b) is also even. This makes both numbers even and gives contradiction.

What exam hint can help solve this Mathematics question?

\(b^2\) सम है इसलिए (b) भी सम होगा। यही दोनों को सम बनाकर विरोधाभास देता है।