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If (p^2) is divisible by (2), what is the correct conclusion about (p)?
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Answer and explanation
Correct answer: (p) is divisible by (2)
Step 1: If the square of an integer is even, the integer itself is even. Step 2: So if (p^2) is divisible by (2), then (p) is also divisible by (2). Step 3: This is the key rule in the proof of (\sqrt{2}).
Frequently asked questions
What is the correct answer to this question?
(p) is divisible by (2)
Why is this the correct answer?
Step 1: If the square of an integer is even, the integer itself is even. Step 2: So if (p^2) is divisible by (2), then (p) is also divisible by (2). Step 3: This is the key rule 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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