Perform the indicated operations. Assume all variables represent positive real numbers. 2∛16 + ∛54

Key Concepts

Radical Expressions

Radical expressions involve roots, such as square roots or cube roots. In this question, we are dealing with cube roots, which are denoted by the radical symbol with a small '3' indicating the root's degree. Understanding how to simplify and manipulate these expressions is crucial for performing the indicated operations.

Properties of Exponents and Roots

The properties of exponents and roots allow us to simplify expressions involving radicals. For instance, the cube root of a product can be expressed as the product of the cube roots of each factor. This concept is essential for breaking down the terms in the expression and performing the necessary operations accurately.

Combining Like Terms

Combining like terms is a fundamental algebraic skill that involves adding or subtracting terms that have the same variable and exponent. In the context of radical expressions, this means identifying terms that can be simplified together, which is necessary for arriving at a final simplified answer for the expression given in the question.