Use the distributive property to help simplify the expression. $$2 \sqrt [ 3 ] { 3 } + 4 \sqrt [ 3 ] { 81 } - 5 \sqrt [ 3 ] { 24 }$$

Question

Quizplus · Accepted Answer

Using the distributive property, we can simplify the expression as:
$$2 \sqrt [ 3 ] { 3 } + 4 \sqrt [ 3 ] { 81 } - 5 \sqrt [ 3 ] { 24 } = 2 \sqrt [ 3 ] { 3 } + 4 \sqrt [ 3 ] { 3^4 } - 5 \sqrt [ 3 ] { 3 \cdot 8 }$$
$$= 2 \sqrt [ 3 ] { 3 } + 4 \sqrt [ 3 ] { 3^3 \cdot 3 } - 5 \sqrt [ 3 ] { 3 \cdot 2^3 } = 2 \sqrt [ 3 ] { 3 } + 4 \cdot 3\sqrt [ 3 ] { 3 } - 5 \cdot 2\sqrt [ 3 ] { 3 }$$
$$= 2\sqrt [ 3 ] { 3 } + 12\sqrt [ 3 ] { 3 } - 10\sqrt [ 3 ] { 3 } = 4\sqrt [ 3 ] { 3 }$$
Therefore, the answer is D.

Use the Distributive Property to Help Simplify the Expression 233+4813−52432 \sqrt [ 3 ] { 3 } + 4 \sqrt [ 3 ] { 81 } - 5 \sqrt [ 3 ] { 24 }233​+4381​−5324​

Use the Distributive Property to Help Simplify the Expression $2 \sqrt [ 3 ] { 3 } + 4 \sqrt [ 3 ] { 81 } - 5 \sqrt [ 3 ] { 24 }$