Here we will explain how to simplify the cube root of 82755 (∛82755). We start by labeling the parts of ∛82755 so it is easy to follow along:
∛82755 = 1∛82755 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 82755 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 82755, we first find the greatest perfect cube from the list of factors of 82755. The factors of 82755 are 1, 3, 5, 9, 15, 27, 45, 135, 613, 1839, 3065, 5517, 9195, 16551, 27585, and 82755.
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 82755, we divide 82755 by 27, which gives us 3065.
To find the simplified coefficient of the radical (c) in the cube root of 82755, we take the cube root of 27, which gives us 3.
That is how you simplify the cube root of 82755. Therefore, the cube root of 82755 in its simplest radical form is as follows:
∛82755 = 3∛3065
Simplify Cube Root Calculator
We can do more than simplify the cube root of 82755. Enter another cube root below for us to simplify!
Simplify cube root of 82756
Here is the next cube root of a number on our list that we have simplified for you.