Simplify the Expression $$3 \sqrt [ 3 ] { 125 x } + 3 \sqrt [ 3 ] { 64 x }$$

question 102

Multiple Choice

Simplify the expression. Assume all variables represent positive real numbers.
- $$3 \sqrt [ 3 ] { 125 x } + 3 \sqrt [ 3 ] { 64 x }$$

• A) \(3 \sqrt [ 3 ] { 189 x }\)
• B) \(9 \sqrt [ 3 ] { x }\)
• C) \(27 \sqrt [ 3 ] { x }\)
• D) \(27 x\)

---

Definitions:

Critical Thinking

The objective analysis and evaluation of an issue in order to form a judgment.

Scarcity Principle

A psychological and economic principle stating that limited supply of a commodity increases its demand and perceived value.

Fast-approaching-deadline Technique

A time management strategy emphasizing the urgency and priority of tasks as deadlines approach, aiming to enhance productivity.

Scarcity

A situation in which unlimited wants exceed the limited resources available to fulfill those wants, often heightening the item's value.