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If (r) is rational and (s) is irrational, when can (r+s) be rational?
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Answer and explanation
Correct answer: Never
Step 1: Adding a rational number cannot make an irrational number rational. Step 2: If (r+s) were rational, then (s=(r+s)-r) would be rational, which is a contradiction. Step 3: Such rules can also be checked by reverse reasoning.
Frequently asked questions
What is the correct answer to this question?
Never
Why is this the correct answer?
Step 1: Adding a rational number cannot make an irrational number rational. Step 2: If (r+s) were rational, then (s=(r+s)-r) would be rational, which is a contradiction. Step 3: Such rules can also be checked by reverse reasoning.
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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