In an exam, what should be clearly written in the last line of an irrationality proof?
Answer and explanation
Correct answer: The assumption led to a contradiction, so the given number is irrational
Step 1: The proof starts with the rational assumption. Step 2: At the end, that assumption contradicts the coprime condition. Step 3: In the last line, clearly write both the contradiction and irrationality.
Frequently asked questions
What is the correct answer to this question?
The assumption led to a contradiction, so the given number is irrational
Why is this the correct answer?
Step 1: The proof starts with the rational assumption. Step 2: At the end, that assumption contradicts the coprime condition. Step 3: In the last line, clearly write both the contradiction and irrationality.
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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