Which option gives the correct final sentence for proving the irrationality of (\sqrt{2})?
Answer and explanation
Correct answer: Hence our rational assumption is false, so (\sqrt{2}) is irrational
Step 1: The proof gets a contradiction from the rational assumption. Step 2: When a contradiction occurs, that assumption is false. Step 3: In the final sentence, clearly write that (\sqrt{2}) is irrational.
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What is the correct answer to this question?
Hence our rational assumption is false, so (\sqrt{2}) is irrational
Why is this the correct answer?
Step 1: The proof gets a contradiction from the rational assumption. Step 2: When a contradiction occurs, that assumption is false. Step 3: In the final sentence, clearly write that (\sqrt{2}) is irrational.
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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