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Class 10MathematicsReal NumbersProof of irrationality of √2, √3, √5EasyLevel 16

Which step is wrong in the proof of (\sqrt{5})?

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Answer and explanation

Correct answer: Writing (p=5q) from (p^2=5q^2)

Step 1: From (p^2=5q^2), we get that (p^2) is divisible by (5). Step 2: We cannot directly write (p=5q). Step 3: The correct step is to say (p) is divisible by (5), then write (p=5k).

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common mistakesqrt5 proofclass 10

Frequently asked questions

What is the correct answer to this question?

Writing (p=5q) from (p^2=5q^2)

Why is this the correct answer?

Step 1: From (p^2=5q^2), we get that (p^2) is divisible by (5). Step 2: We cannot directly write (p=5q). Step 3: The correct step is to say (p) is divisible by (5), then write (p=5k).

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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