Here we will explain how to simplify the cube root of 2175 (∛2175). We start by labeling the parts of ∛2175 so it is easy to follow along:
∛2175 = 1∛2175 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 2175 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 2175, we first find the greatest perfect cube from the list of factors of 2175. The factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, and 2175.
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 2175, we divide 2175 by 1, which gives us 2175.
To find the simplified coefficient of the radical (c) in the cube root of 2175, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 2175. Therefore, the cube root of 2175 in its simplest radical form is as follows:
∛2175 = ∛2175
Simplify Cube Root Calculator
We can do more than simplify the cube root of 2175. Enter another cube root below for us to simplify!
Simplify cube root of 2176
Here is the next cube root of a number on our list that we have simplified for you.