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In the proof for (\sqrt{5}), after showing (a) is divisible by (5) from (a^2=5b^2), which conclusion would be immediately wrong?
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Answer and explanation
Correct answer: (a) is necessarily divisible by (25)
Step 1: From (a^2=5b^2), (5\mid a^2), so (5\mid a). Step 2: This does not necessarily mean (a) is divisible by (25). Step 3: Write only the conclusion that is actually proved.
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What is the correct answer to this question?
(a) is necessarily divisible by (25)
Why is this the correct answer?
Step 1: From (a^2=5b^2), (5\mid a^2), so (5\mid a). Step 2: This does not necessarily mean (a) is divisible by (25). Step 3: Write only the conclusion that is actually 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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