Simplify the expression. Assume all variables represent positive real numbers.
-$$16 \sqrt [ 3 ] { 2 } - 5 \sqrt [ 3 ] { 250 }$$
A) $- 9 \sqrt [ 3 ] { 2 }$
B) $9 \sqrt [ 3 ] { 2 }$
C) $16 \sqrt [ 3 ] { 2 } - 5 \sqrt [ 3 ] { 250 }$
D) $11 \sqrt [ 3 ] { 2 }$

Question

Quizplus · Accepted Answer

The expression simplifies by recognizing that $\sqrt[3]{250} = \sqrt[3]{2 \times 125} = \sqrt[3]{2} \times \sqrt[3]{125} = 5\sqrt[3]{2}$. Thus, the expression becomes $16\sqrt[3]{2} - 5(5\sqrt[3]{2}) = 16\sqrt[3]{2} - 25\sqrt[3]{2} = -9\sqrt[3]{2}$.

Simplify the Expression 1623−5250316 \sqrt [ 3 ] { 2 } - 5 \sqrt [ 3 ] { 250 }1632​−53250​

Simplify the Expression $16 \sqrt [ 3 ] { 2 } - 5 \sqrt [ 3 ] { 250 }$