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]
