Add or subtract. Assume all variables represent positive real numbers.
-$\sqrt [ 3 ] { a } + \sqrt [ 3 ] { 8 a }$
A) $4 \sqrt [ 3 ] { 8 a }$
B) $6 \sqrt [ 3 ] { a }$
C) $5 \sqrt [ 3 ] { a }$
D) $3 \sqrt [ 3 ] { a } + \sqrt [ 3 ] { 8 a }$

Question

Quizplus · Accepted Answer

$\sqrt [ 3 ] { 8a }$ can be simplified to $2\sqrt [ 3 ] { a }$ because $\sqrt [ 3 ] { 8 }$ equals 2. Adding $\sqrt [ 3 ] { a }$ to $2\sqrt [ 3 ] { a }$ gives $3\sqrt [ 3 ] { a }$, but the correct simplification is $3\sqrt [ 3 ] { a }$, indicating a mistake in my initial response. The correct answer should reflect the sum of these terms correctly.

Add or Subtract a3+8a3\sqrt [ 3 ] { a } + \sqrt [ 3 ] { 8 a }3a​+38a​

Add or Subtract $\sqrt [ 3 ] { a } + \sqrt [ 3 ] { 8 a }$