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In the proof of (\sqrt{3}), if (p) is divisible by (3) from (p^2=3q^2), what type of number is (k) in (p=3k)?

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Answer and explanation

Correct answer: Integer

Step 1: (p) is an integer and is divisible by (3). Step 2: Therefore (p=3k), where (k) is also an integer. Step 3: Mentioning the type of the new variable makes the proof clear.

Related tags

Sqrt3 ProofInteger ParameterHardClass 10

Frequently asked questions

What is the correct answer to this question?

Integer

Why is this the correct answer?

Step 1: (p) is an integer and is divisible by (3). Step 2: Therefore (p=3k), where (k) is also an integer. Step 3: Mentioning the type of the new variable makes the proof clear.

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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