Which statement gives the final conclusion about (q) in the proof for (\sqrt{3})?
Answer and explanation
Correct answer: (q^2=3k^2), so (3\mid q)
Step 1: (q^2=3k^2) shows that (q^2) is divisible by (3). Step 2: Since (3) is prime, (q) is also divisible by (3). Step 3: This shows the common factor in (p) and (q).
Frequently asked questions
What is the correct answer to this question?
(q^2=3k^2), so (3\mid q)
Why is this the correct answer?
Step 1: (q^2=3k^2) shows that (q^2) is divisible by (3). Step 2: Since (3) is prime, (q) is also divisible by (3). Step 3: This shows the common factor in (p) and (q).
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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