Final Answer:
The combined radical expression is 2√3. Option A is answer.
Step-by-step explanation:
When confronted with mathematical expressions involving cube roots, simplifying and combining terms is a fundamental skill. In this context, we aim to simplify the expression ³√27− 24 and determine its combined radical form. The goal is to present the expression in its most concise and simplified format, showcasing the effective application of cube root simplification.
Simplify the cube roots of the individual terms:
³√27 = 3
³√24 = 2√3
Substitute the simplified values back into the original expression:
³√27− 24 = 3 - 2√3
Combine like terms:
3 - 2√3 = 2√3
Therefore, the combined radical expression is 2√3.
Option A is answer.