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If (x^2) is even, what is the correct conclusion about (x)?
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Answer and explanation
Correct answer: (x) is even
Step 1: If (x) were odd, then (x^2) would be odd. Step 2: Since (x^2) is given even, (x) must be even. Step 3: This rule is used immediately in the proof of (\sqrt{2}).
Frequently asked questions
What is the correct answer to this question?
(x) is even
Why is this the correct answer?
Step 1: If (x) were odd, then (x^2) would be odd. Step 2: Since (x^2) is given even, (x) must be even. Step 3: This rule is used immediately in the proof of (\sqrt{2}).
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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