Problem 78 - College Algebra

Question

Add or subtract terms whenever possible. $$3 \sqrt[3]{24}+\sqrt[3]{81}$$

Step-by-Step Solution

Answer

After simplifying, the final answer is \(3 \sqrt[3]{24} + 4.43\) to two decimal places.

Step 1: Identifying Like Terms

In the given expression \(3 \sqrt[3]{24}+\sqrt[3]{81}\), the first part that needs to be done is identifying like terms. In this case, the terms are not alike because they have different radicals. Therefore, we cannot combine the radicals as they are.

Step 2: Simplifying the Radicals

The next step is to simplify each term separately. For the term \(3 \sqrt[3]{24}\), we can't simplify the cube root of 24 further. However, for the term \(\sqrt[3]{81}\), the cube root of 81 is 4.43 to two decimal places.

Step 3: Final Answer

Since the terms cannot be simplified further or combined, the simplified form of the given expression remains \(3 \sqrt[3]{24} + 4.43\) to two decimal places.