Subjects algebra

Cube Root Expression 5D3Eb3

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1. **State the problem:** Calculate the value of $$\sqrt[3]{-8} \times \left(12 - \left(5^2 + \sqrt{9}\right)\right) \div 8$$. 2. **Evaluate the cube root:** $$\sqrt[3]{-8} = -2$$ because $$(-2)^3 = -8$$. 3. **Calculate the powers and roots inside the parentheses:** - $$5^2 = 25$$ - $$\sqrt{9} = 3$$ 4. **Sum inside the parentheses:** $$25 + 3 = 28$$. 5. **Subtract inside the parentheses:** $$12 - 28 = -16$$. 6. **Multiply the cube root by the result:** $$-2 \times (-16) = 32$$. 7. **Divide by 8:** $$\frac{32}{8} = 4$$. 8. **Final answer:** $$4$$.