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If (\sqrt{a}+\sqrt{b}) is rational and (a,b) are distinct prime numbers, which conclusion is correct?

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Answer and explanation

Correct answer: This is impossible

Square roots of distinct primes are different irrationals and their sum cannot be rational. In exams do not assume independent radicals can combine to a rational number.

Related tags

Prime RadicalsIrrational SumReasoning

Frequently asked questions

What is the correct answer to this question?

This is impossible

Why is this the correct answer?

Square roots of distinct primes are different irrationals and their sum cannot be rational. In exams do not assume independent radicals can combine to a rational number.

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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