Write 8 as a sum of two primes.

Select the correct choice below and fill in the answer box to complete your choice.

A. [tex]8 = 2 + \square[/tex]

B. [tex]8 = 6 + \square[/tex]

C. [tex]8 = 5 + \square[/tex]



Answer :

To write 8 as a sum of two prime numbers, we need to find two prime numbers that add up to 8.

Let's check the possible pairs:

1. Option A:
[tex]\( 8 = 2 + \square \)[/tex]
If we choose 2, the other number must be [tex]\( 8 - 2 = 6 \)[/tex]. However, 6 is not a prime number.

2. Option B:
[tex]\( 8 = 6 + \square \)[/tex]
If we choose 6, the other number must be [tex]\( 8 - 6 = 2 \)[/tex]. As stated earlier, 6 is not a prime number.

3. Option C:
[tex]\( 8 = 5 + \square \)[/tex]
If we choose 5, the other number must be [tex]\( 8 - 5 = 3 \)[/tex]. Both 5 and 3 are prime numbers.

Thus, the correct option is:

C. [tex]\( 8 = 5 + 3 \)[/tex].

Therefore:

[tex]\[ 8 = 5 + 3 \][/tex]