What main exam lesson is learned from the proofs of (\sqrt{2}), (\sqrt{3}), and (\sqrt{5})?
Answer and explanation
Correct answer: Write rational assumption, squaring, prime divisibility, and coprime contradiction in order
Step 1: First assume the square root is rational. Step 2: Then square and use prime divisibility to show a common factor in numerator and denominator. Step 3: In exams, this order makes a clear full-mark answer.
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What is the correct answer to this question?
Write rational assumption, squaring, prime divisibility, and coprime contradiction in order
Why is this the correct answer?
Step 1: First assume the square root is rational. Step 2: Then square and use prime divisibility to show a common factor in numerator and denominator. Step 3: In exams, this order makes a clear full-mark answer.
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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