Let's analyze the given equations to identify the pattern:

1. $12 \, () \, 34 = 56$
2. $38 \, () \, 75 = 136$
3. $2021 \, () \, 9002 = ?$

We need to determine the operation that connects the numbers on the left-hand side to the result on the right-hand side.

First equation:

$12 \, () \, 34 = 56$ One possible approach is to check if adding the numbers works: $12 + 34 = 46$ However, this gives 46, not 56.

Instead, let's check if multiplying the numbers' digits might work: $(1 \times 2) + (3 \times 4) = 2 + 12 = 14$ This doesn't match either.

Another idea is to subtract the smaller number from the larger number: $34 - 12 = 22$ But this doesn't fit 56 either. So we can try squaring:

[ \sqrt{34}^2 + . Let's