https://file.aiquickdraw.com/mathbot/file/1726643226919ltddem81.jpg

The expression you uploaded is:

\[
\sqrt[3]{3x} + 9 \sqrt[3]{3x} - 2 \sqrt[3]{3x}
\]

Since all the terms contain the same cube root factor \( \sqrt[3]{3x} \), they can be combined like like terms:

\[
(1 + 9 - 2) \cdot \sqrt[3]{3x} = 8 \cdot \sqrt[3]{3x}
\]

Thus, the simplified expression is:

\[
8 \sqrt[3]{3x}
\]

Would you like further details or have any questions about the simplification process?

Here are 5 related questions to deepen understanding:

1. How would you simplify if the radicals were square roots instead of cube roots?
2. What if the terms inside the radicals were different, say \( \sqrt[3]{4x} \) and \( \sqrt[3]{5x} \)?
3. Can you explain how to distribute or combine cube roots in general?
4. How do cube roots relate to exponents and how can you convert them to fractional exponents?
5. How would the solution change if there were an additional term like \( 3 \sqrt[3]{3x^2} \)?

**Tip:** Always ensure that terms can be combined by checking if the radical expressions are identical before simplifying.

Simplify the expression: ∛(3x) + 9∛(3x) − 2∛(3x).

Learn how to simplify the cube root expression ∛(3x) + 9∛(3x) − 2∛(3x). This problem demonstrates combining like terms involving radicals, specifically cube roots. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation