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