If (p) and (q) are non-zero rational numbers and (p+q\sqrt{2}=0), which conclusion is correct?

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Answer and explanation

Correct answer: (\sqrt{2}=-\frac{p}{q}), so (\sqrt{2}) would be rational which is impossible

Since (-\frac{p}{q}) is rational, this would make (\sqrt{2}) rational which is false. In exams recognize the contradiction method.

What is the correct answer to this question?

(\sqrt{2}=-\frac{p}{q}), so (\sqrt{2}) would be rational which is impossible

Why is this the correct answer?

Since (-\frac{p}{q}) is rational, this would make (\sqrt{2}) rational which is false. In exams recognize the contradiction method.

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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