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Which option shows the correct path to prove (q) divisible by (5) in the proof of (\sqrt{5})?
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Answer and explanation
Correct answer: (p^2=5q^2), (p=5k), (25k^2=5q^2), (q^2=5k^2)
Step 1: From (p^2=5q^2), (p) is divisible by (5), so (p=5k). Step 2: Substitution gives (25k^2=5q^2), then (q^2=5k^2). Step 3: This proves (q) is also divisible by (5).
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What is the correct answer to this question?
(p^2=5q^2), (p=5k), (25k^2=5q^2), (q^2=5k^2)
Why is this the correct answer?
Step 1: From (p^2=5q^2), (p) is divisible by (5), so (p=5k). Step 2: Substitution gives (25k^2=5q^2), then (q^2=5k^2). Step 3: This proves (q) is also divisible by (5).
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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