Which statement justifies that (a) is even when (a^2) is even in the proof of (\sqrt{2})?

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Answer and explanation

Correct answer: If (a) were odd, then (a^2) would also be odd

Step 1: The square of an odd number is always odd. Step 2: Here (a^2) is even, so (a) cannot be odd. Step 3: Therefore (a) must be even.

What is the correct answer to this question?

If (a) were odd, then (a^2) would also be odd

Why is this the correct answer?

Step 1: The square of an odd number is always odd. Step 2: Here (a^2) is even, so (a) cannot be odd. Step 3: Therefore (a) must be even.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Proof of irrationality of √2, √3, √5.

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