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Class 10MathematicsReal NumbersProof of irrationality of √2, √3, √5EasyLevel 17

Which option is a wrong statement in the proof of (\sqrt{5})?

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Answer and explanation

Correct answer: (\sqrt{5}=5)

Step 1: (\sqrt{5}=5) is wrong because (5^2=25). Step 2: In the correct proof, (\sqrt{5}) is assumed rational and a contradiction is obtained. Step 3: Do not treat a square root as equal to the number under it.

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wrong statementsqrt5 proofclass 10

Frequently asked questions

What is the correct answer to this question?

(\sqrt{5}=5)

Why is this the correct answer?

Step 1: (\sqrt{5}=5) is wrong because (5^2=25). Step 2: In the correct proof, (\sqrt{5}) is assumed rational and a contradiction is obtained. Step 3: Do not treat a square root as equal to the number under it.

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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