Which rule is equally useful in the proofs of (\sqrt{3}) and (\sqrt{5})?

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Answer and explanation

Correct answer: If a prime divides a square, it also divides the original number

Step 1: (3) and (5) are both prime. Step 2: If they divide (a^2), they also divide (a). Step 3: This rule leads to the common factor.

What is the correct answer to this question?

If a prime divides a square, it also divides the original number

Why is this the correct answer?

Step 1: (3) and (5) are both prime. Step 2: If they divide (a^2), they also divide (a). Step 3: This rule leads to the common factor.

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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