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The given expression \( E = \sqrt[3]{3} + \sqrt{8} \cdot (\sqrt[3]{3} - \sqrt{8}) \) simplifies to approximately \( E \approx -5.92 \).

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Here are 5 related questions to expand this topic:
1. How do cube roots and square roots differ in mathematical properties?
2. Can you explain the steps involved in expanding binomial products with roots?
3. How does the distributive property apply to radical expressions?
4. What are some techniques for simplifying expressions involving cube roots?
5. Why do cube roots and square roots result in real numbers even for non-perfect cubes and squares?

**Tip:** Always check for opportunities to rationalize or simplify expressions involving square and cube roots for more concise results.

Calculate: E = ∛3 + √8 * (∛3 - √8)

Learn how to simplify the expression E = ∛3 + √8 * (∛3 - √8). This problem explores key mathematical concepts such as cube roots, square roots, and applying the distributive property. Suitable for students in Grades 10-12.

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