To evaluate the expression \(3 + 1^2 \times 2\), we must follow the order of operations (PEMDAS/BODMAS):
-
Evaluate the exponent: \[ 1^2 = 1 \]
-
Multiply: \[ 1 \times 2 = 2 \]
-
Add: \[ 3 + 2 = 5 \]
Thus, the value of the expression \(3 + 1^2 \times 2\) is \( \boxed{5} \).