Which one is correct
A. √3 is irrational
B. Sum of two irrational numbers is always irrational
C. √p, where p is prime, is irrational
D. Every composite number can be expressed as a product of primes
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → A, C and D only
A and C are true: the square root of any prime is irrational, and 3 is prime, so √3 is irrational. D is true as well — it is the Fundamental Theorem of Arithmetic, which says every composite number can be written as a product of primes, uniquely apart from the order of the factors.
B is false. The sum of two irrational numbers need not be irrational: (2 + √3) + (2 − √3) = 4, and √2 + (−√2) = 0, both rational. So the statement “always” breaks down.