Add or subtract as indicated and simplify.
$\sqrt[3]{50}+\sqrt[3]{8}-\sqrt[3]{18}$

• A. $\sqrt{40}$
• B. $\sqrt[3]{40}$
• C. $\sqrt[3]{40}+2$
• D. Not like a radical

Answer: (D)

Verified step by step guidance

1. Identify the cube roots in the expression: \(\sqrt[3]{50} + \sqrt[3]{8} - \sqrt[3]{18}\).
2. Simplify any cube roots that are perfect cubes or can be factored to include a perfect cube. For example, \(\sqrt[3]{8}\) can be simplified because 8 is \$2^3$.
3. Express each radicand (the number inside the cube root) as a product of a perfect cube and another factor, if possible. For example, write 50 as \$25 \times 2$ and check if 25 or 2 is a perfect cube.
4. Rewrite each cube root using the property \(\sqrt[3]{a \times b} = \sqrt[3]{a} \times \sqrt[3]{b}\), and simplify the perfect cube roots to integers.
5. After simplification, combine like terms if possible. Since cube roots with different radicands cannot be combined, check if any terms are like radicals and simplify the expression accordingly.