Here are the essential concepts you must grasp in order to answer the question correctly.
Radical Expressions
Radical expressions involve roots, such as square roots or cube roots. In this context, the cube root (∛) is used, which represents a number that, when multiplied by itself three times, gives the original number. Understanding how to manipulate these expressions is crucial for simplification.
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Radical Expressions with Fractions
Simplifying Radicals
Simplifying radicals involves rewriting the expression in a simpler form, often by factoring out perfect cubes or squares. For example, ∛16 can be simplified by recognizing that 16 = 2^4, allowing us to express it in terms of simpler radicals. This process is essential for combining and simplifying radical expressions.
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Adding & Subtracting Unlike Radicals by Simplifying
Combining Like Terms
Combining like terms is a fundamental algebraic skill that involves adding or subtracting terms that have the same radical part. In the expression 4∛16 + 5∛2, after simplifying ∛16, we can only combine terms if they share the same radical component. This concept is key to achieving a final simplified expression.
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