Problem 76 - College Algebra

Question

Add or subtract terms whenever possible. $$6 \sqrt[5]{3}+2 \sqrt[5]{3}$$

Step-by-Step Solution

Answer

The simplified form is \(8 \sqrt[5]{3}\).

Step 1: Identify Like Terms

Like terms are expressions having similar radicands and indices in terms of radicals. Here, both \(6 \sqrt[5]{3}\) and \(2 \sqrt[5]{3}\) are like terms because they have the same radicand '3' and index '5'.

Step 2: Add the coefficients of the like terms

The coefficients of the terms are 6 and 2. When you add them, you get 6 + 2 = 8.

Step 3: Write the final answer

Now combine the sum of the coefficients from step 2 with the common radicand and the index to get the final answer. The final answer will be the coefficient \(8 \sqrt[5]{3}\).