1. Select the CORRECT statement about \( \sqrt[3]{-8} \). A. Real number B. Natural number C. Irrational number D. Complex number

The expression \( \sqrt[3]{-8} \) represents the cube root of -8. Let's evaluate each option: 1. **Calculate \( \sqrt[3]{-8} \):** \[ \sqrt[3]{-8} = -2 \quad \text{because} \quad (-2)^3 = -8 \] 2. **Evaluate Each Option:** - **A. Real number** - **True:** \(-2\) is a real number. - **B. Natural number** - **False:** Natural numbers are positive integers (1, 2, 3, ...). \(-2\) is negative. - **C. Irrational number** - **False:** \(-2\) is a rational number since it can be expressed as \(-2/1\). - **D. Complex number** - **Technically True:** In the broader sense, all real numbers are also complex numbers with an imaginary part of 0 (i.e., \(-2 = -2 + 0i\)). However, in the context of typical multiple-choice questions, "complex number" often implies a non-zero imaginary part, making this option less precise. **Conclusion:** The most accurate and specific correct statement is: **A. Real number**