Problem

Simplify the expression by combining the radical terms using the indicated operation(s).
\[
4 \sqrt[3]{x}+\sqrt[3]{x}
\]

Answer

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{5 \sqrt[3]{x}}\) is the simplified expression.

Steps

Step 1 :The problem is asking to simplify the expression by combining the radical terms. The operation indicated is addition.

Step 2 :The two terms in the expression are like terms because they both contain the cube root of x.

Step 3 :Therefore, we can combine them by adding their coefficients.

Step 4 :\(4 \sqrt[3]{x} + \sqrt[3]{x} = 5 \sqrt[3]{x}\)

Step 5 :\(\boxed{5 \sqrt[3]{x}}\) is the simplified expression.

link_gpt