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If (\frac{1}{x}) is rational and (x\neq0), what is the correct conclusion about (x) being irrational?
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Answer and explanation
Correct answer: (x) must be rational
Step 1: If (\frac{1}{x}) is rational and non-zero, then its reciprocal is also rational. Step 2: Therefore (x) is rational, not irrational. Step 3: In reciprocal questions, always check the non-zero condition.
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What is the correct answer to this question?
(x) must be rational
Why is this the correct answer?
Step 1: If (\frac{1}{x}) is rational and non-zero, then its reciprocal is also rational. Step 2: Therefore (x) is rational, not irrational. Step 3: In reciprocal questions, always check the non-zero condition.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Irrational numbers.
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