Question

What is the simplified form of the following expression? 7 (RootIndex 3 StartRoot 2 x EndRoot) minus 3 (RootIndex 3 StartRoot 16 x EndRoot) minus 3 (RootIndex 3 StartRoot 8 x EndRoot) Negative 5 (RootIndex 3 StartRoot 2 x EndRoot) 5 (RootIndex 3 StartRoot x EndRoot) RootIndex 3 StartRoot 2 x EndRoot minus 6 (RootIndex 3 StartRoot x EndRoot) Negative (RootIndex 3 StartRoot 2 x EndRoot) minus 6 (RootIndex 3 StartRoot x EndRoot)

Answer 1

C

Explanation:

Took Test!!

Answer 2

9514 1404 393

Answer:

(c) ∛(2x) -6∛x

Explanation:

The expression is simplified by removing the cubes from under the radical and combining like terms.

`7\sqrt[3]{2x}-3\sqrt[3]{16x}-3\sqrt[3]{8x}\\\\=7\sqrt[3]{2x}-3\sqrt[3]{2^3\cdot2x}-3\sqrt[3]{2^3x}\\\\=7\sqrt[3]{2x}-6\sqrt[3]{2x}-6\sqrt[3]{x}\\\\=\boxed{\sqrt[3]{2x}-6\sqrt[3]{x}}\qquad\text{matches 3$^\text{rd}$ choice}`

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Comment on the question

Both the question and answer choices would be much easier to identify if the usual math symbols were used, along with appropriate formatting.