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If (p) and (q) are rational numbers and (p+q\sqrt{5}) is rational, what is true about (q)?
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Answer and explanation
Correct answer: (q=0)
If (q\ne0), then (q\sqrt{5}) is irrational and the sum cannot be rational. In exams check the possibility of a zero coefficient.
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What is the correct answer to this question?
(q=0)
Why is this the correct answer?
If (q\ne0), then (q\sqrt{5}) is irrational and the sum cannot be rational. In exams check the possibility of a zero coefficient.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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