alleryStart learning →The sum of a rational number and an irrational number is always
Arational
Birrational
Czero
Da whole number
Answer & Solution
Correct answer: B. irrational
1. Suppose a rational r plus an irrational i were rational; then i = (rational) − r would be rational — a contradiction.
2. Hence the sum of a rational and an irrational number is **irrational**.
3. e.g. $2 + \sqrt{3}$ is irrational.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch8 'Real Numbers', §8.4_
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