Q. 53 - Intermediate Algebra

Question

Explain what is meant by the $n^{th}$ root of a number.

Step-by-Step Solution

Answer

The $n^{th}$ root of a number $x$ is a number $r$ which, if raised to a power $n$, gives $x$.

Step 1. Explanation

A root is the solution to the equation, usually represented as an algebraic expression or formula.

The $n^{th}$ root of a number $x$, usually a positive number, is a number which when raised to power $n$, gives $x$.

Step 2. Example

For example.

Let's assume a number $125$.

We know that ${\left(5\right)}^3=125$.

So we can say that $5$ is third root or cube root of $125$.