Add or subtract the radical expressions as indicated, if possible. $$- 2 \sqrt [ 3 ] { 128 } + \sqrt [ 3 ] { 2 } - \sqrt [ 3 ] { 81 }$$
A) $- 3 \sqrt [ 3 ] { 101 } + \sqrt [ 3 ] { 2 }$
B) $- 10 \sqrt [ 3 ] { 5 }$
C) $- 7 \sqrt [ 3 ] { 2 } - 3 \sqrt [ 3 ] { 3 }$
D) Cannot be simplified further

Question

Quizplus · Accepted Answer

The expression simplifies to $- 7 \sqrt [ 3 ] { 2 } - 3 \sqrt [ 3 ] { 3 }$ by breaking down the cube roots: $\sqrt[3]{128} = 4\sqrt[3]{2}$ and $\sqrt[3]{81} = 3\sqrt[3]{3}$.

Add or Subtract the Radical Expressions as Indicated, If Possible −21283+23−813- 2 \sqrt [ 3 ] { 128 } + \sqrt [ 3 ] { 2 } - \sqrt [ 3 ] { 81 }−23128​+32​−381​

Add or Subtract the Radical Expressions as Indicated, If Possible $- 2 \sqrt [ 3 ] { 128 } + \sqrt [ 3 ] { 2 } - \sqrt [ 3 ] { 81 }$