Question

​√n is a natural number such that n>1. Which of these can DEFINITELY be expressed as a product of primes?

i) n​

ii) n

iii) 2n​​

a. Only i)
b. Only ii)
c. i) and ii)
d. All i), ii), and iii)
e. Cannot be determined without knowing n

Answer 1

The values that can be expressed as a product of primes in the given options are i) n and ii) n.

Step-by-step explanation:

√n is a natural number such that n>1. To determine which of these options can definitely be expressed as a product of primes, we need to understand the prime factorization of a number.

ii) n cannot be definitively expressed as a product of primes because we don't have any information about its prime factorization.

iii) 2n can be expressed as a product of primes because we can factor out the prime number 2 from it.

Therefore, the correct answer is (c) i) and ii) can definitely be expressed as a product of primes.