Here we will explain how to simplify the cube root of 8825 (∛8825). We start by labeling the parts of ∛8825 so it is easy to follow along:
∛8825 = 1∛8825 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 8825 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 8825, we first find the greatest perfect cube from the list of factors of 8825. The factors of 8825 are 1, 5, 25, 353, 1765, and 8825.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 1 (1 times 1 times 1 equals 1).
To find the simplified radicand (r) in the cube root of 8825, we divide 8825 by 1, which gives us 8825.
To find the simplified coefficient of the radical (c) in the cube root of 8825, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 8825. Therefore, the cube root of 8825 in its simplest radical form is as follows:
∛8825 = ∛8825
Simplify Cube Root Calculator
We can do more than simplify the cube root of 8825. Enter another cube root below for us to simplify!
Simplify cube root of 8826
Here is the next cube root of a number on our list that we have simplified for you.