Final answer:
The given sum is 3b² + 3√54a + 3(3√2ab⁶). It can be simplified as 3b² + 9√(2a) + 3(3√2ab⁶).
Step-by-step explanation:
The given sum is:
3b² + 3√54a + 3(3√2ab⁶)
Let's simplify each term one by one:
1. 3b²: This is the product of 3 and the square of b. It cannot be simplified further.
2. 3√54a: This is the product of 3 and the square root of 54a. Simplifying the square root, we get 3 * √(9 * 6 * a), which simplifies to 3 * 3√(2a), or 9√(2a).
3. 3(3√2ab⁶): This is the product of 3 and 3√2ab⁶. It cannot be simplified further.
Putting it all together, the sum is: 3b² + 9√(2a) + 3(3√2ab⁶).