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Which option gives an incorrect conclusion about (x) from (x^2=5y^2) in the proof for (\sqrt{5})?
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Answer and explanation
Correct answer: (x) is necessarily divisible by (25)
Step 1: From (x^2=5y^2), we get (5\mid x^2) and then (5\mid x). Step 2: This does not necessarily mean that (x) is divisible by (25). Step 3: Write only what is proved.
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What is the correct answer to this question?
(x) is necessarily divisible by (25)
Why is this the correct answer?
Step 1: From (x^2=5y^2), we get (5\mid x^2) and then (5\mid x). Step 2: This does not necessarily mean that (x) is divisible by (25). Step 3: Write only what is proved.
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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