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Which statement gives the correct basis for proving (q) even in the proof of (\sqrt{2})?
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Answer and explanation
Correct answer: After substituting (p=2k), (q^2=2k^2) is obtained
Step 1: First (p) is proved even from (p^2=2q^2). Step 2: Substituting (p=2k) gives (q^2=2k^2). Step 3: This proves (q^2), and then (q), is even.
Frequently asked questions
What is the correct answer to this question?
After substituting (p=2k), (q^2=2k^2) is obtained
Why is this the correct answer?
Step 1: First (p) is proved even from (p^2=2q^2). Step 2: Substituting (p=2k) gives (q^2=2k^2). Step 3: This proves (q^2), and then (q), is even.
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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