Add or subtract. Assume all variables represent positive real numbers.
-$\sqrt [ 3 ] { 8 y } - \sqrt [ 3 ] { 54 y }$
A) $2 \sqrt [ 3 ] { y } - 3 \sqrt [ 3 ] { 2 y }$
B) $2 - 3 \sqrt [ 3 ] { 2 }$
C) $3 \sqrt [ 3 ] { 2 y } - 2 \sqrt [ 3 ] { y }$
D) $5 \sqrt [ 3 ] { y }$

Question

Quizplus · Accepted Answer

First, simplify each term: $\sqrt[3]{8y} = 2\sqrt[3]{y}$ and $\sqrt[3]{54y} = 3\sqrt[3]{2y}$. Thus, the expression simplifies to $2\sqrt[3]{y} - 3\sqrt[3]{2y}$.

Add or Subtract 8y3−54y3\sqrt [ 3 ] { 8 y } - \sqrt [ 3 ] { 54 y }38y​−354y​

Add or Subtract $\sqrt [ 3 ] { 8 y } - \sqrt [ 3 ] { 54 y }$