1. The problem is to understand what the \textbf{nth root} of a number means. 2. The \textbf{nth root} of a number $a$ is a value $x$ such that when you raise $x$ to the power $n$, you get $a$. Mathematically, this is written as: $$x^n = a$$ 3. The \textbf{nth root} is denoted as: $$x = \sqrt[n]{a}$$ where $n$ is a positive integer called the root degree. 4. Important rules: - If $n=2$, the \textbf{nth root} is called the square root. - If $n=3$, it is called the cube root. - For even $n$, the \textbf{nth root} of a negative number is not a real number. - For odd $n$, the \textbf{nth root} of a negative number is negative. 5. Example: To find the cube root of 8, we look for $x$ such that: $$x^3 = 8$$ Since $2^3 = 8$, the cube root of 8 is 2. 6. In simple terms, the \textbf{nth root} asks: "What number multiplied by itself $n$ times equals the given number?"