Polynomial and Radical Operations

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

A radical is an expression that includes a root, such as a square root or cube root, represented by the radical symbol (√).

To simplify a radical expression, factor the number under the radical into its prime factors, and then extract any perfect squares (or higher powers) from under the radical.

The product of two radicals can be simplified by multiplying the numbers under the radicals together, then simplifying the resulting radical.

The sum of two like radicals can be combined by adding their coefficients, while keeping the radical part the same.

Like radicals have the same index and radicand (the number under the radical), while unlike radicals do not.

Yes.