Final answer:
The total resistance in the parallel circuit is approximately 2.57 ohms.
Step-by-step explanation:
In a parallel circuit, the total resistance is calculated using the formula 1/RTotal = 1/R1 + 1/R2 + 1/R3, where RTotal is the total resistance and R1, R2, R3 are the individual resistances. In this case, R1 = 12 ohms, R2 = 8 ohms, and R3 = 6 ohms. Plugging in these values, we get 1/RTotal = 1/12 + 1/8 + 1/6. Simplifying this equation, we find that the total resistance is approximately 2.57 ohms.