Here we will explain how to simplify the cube root of 81 (∛81). We start by labeling the parts of ∛81 so it is easy to follow along:
∛81 = 1∛81 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 81 in its simplest form means that you want the radicand to be as small as possible and the coefficient of the radical to be as large as possible.
To simplify the cube root of 81, we first find the greatest perfect cube from the list of factors of 81. The factors of 81 are 1, 3, 9, 27, and 81.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 27 (3 times 3 times 3 equals 27).
To find the simplified radicand (r) in the cube root of 81, we divide 81 by 27, which gives us 3.
To find the simplified coefficient of the radical (c) in the cube root of 81, we take the cube root of 27, which gives us 3.
That is how you simplify the cube root of 81. Therefore, the cube root of 81 in its simplest radical form is as follows:
∛81 = 3∛3
Simplify Cube Root Calculator
We can do more than simplify the cube root of 81. Enter another cube root below for us to simplify!
Simplify cube root of 82
Here is the next cube root of a number on our list that we have simplified for you.