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Chapter 0: Problem 76

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

Short Answer

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

Step by step solution

01

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'.
02

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.
03

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 \(8 \sqrt[5]{3}\).

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Most popular questions from this chapter

Exercises \(142-144\) will help you prepare for the material covered in the next section. Use the distributive property to multiply: $$2 x^{4}\left(8 x^{4}+3 x\right)$$

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I simplified the terms of \(2 \sqrt{20}+4 \sqrt{75},\) and then I was able to add the like radicals.

The mass of one oxygen molecule is \(5.3 \times 10^{-23}\) gram. Find the mass of \(20,000\) molecules of oxygen. Express the answer in scientific notation.

What difference is there in simplifying \(\sqrt[3]{(-5)^{3}}\) and \(\sqrt[4]{(-5)^{4}} ?\)

Explain how to simplify \(\sqrt{10} \cdot \sqrt{5}\)
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