Which statement correctly describes the difference between the proofs of (\sqrt{2}) and (\sqrt{3})?
Answer and explanation
Correct answer: Evenness is central in (\sqrt{2}), while prime factor (3) is central in (\sqrt{3})
Step 1: In (\sqrt{2}), (p^2=2q^2) gives the evenness argument. Step 2: In (\sqrt{3}), the primality of (3) gives the divisibility argument. Step 3: Choose the reasoning according to the number under the root.
Frequently asked questions
What is the correct answer to this question?
Evenness is central in (\sqrt{2}), while prime factor (3) is central in (\sqrt{3})
Why is this the correct answer?
Step 1: In (\sqrt{2}), (p^2=2q^2) gives the evenness argument. Step 2: In (\sqrt{3}), the primality of (3) gives the divisibility argument. Step 3: Choose the reasoning according to the number under the root.
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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