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Which statement is correct if (n) is an odd integer?
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Answer and explanation
Correct answer: (n^2) will be odd
Step 1: An odd integer can be written as (2k+1). Step 2: Its square becomes (4k^2+4k+1), which is odd. Step 3: This fact helps prove that if (p^2) is even, then (p) is even in the (\sqrt{2}) proof.
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What is the correct answer to this question?
(n^2) will be odd
Why is this the correct answer?
Step 1: An odd integer can be written as (2k+1). Step 2: Its square becomes (4k^2+4k+1), which is odd. Step 3: This fact helps prove that if (p^2) is even, then (p) is even in the (\sqrt{2}) proof.
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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