Here we will explain how to simplify the cube root of 28544 (∛28544). We start by labeling the parts of ∛28544 so it is easy to follow along:
∛28544 = 1∛28544 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 28544 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 28544, we first find the greatest perfect cube from the list of factors of 28544. The factors of 28544 are 1, 2, 4, 8, 16, 32, 64, 128, 223, 446, 892, 1784, 3568, 7136, 14272, and 28544.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 64 (4 times 4 times 4 equals 64).
To find the simplified radicand (r) in the cube root of 28544, we divide 28544 by 64, which gives us 446.
To find the simplified coefficient of the radical (c) in the cube root of 28544, we take the cube root of 64, which gives us 4.
That is how you simplify the cube root of 28544. Therefore, the cube root of 28544 in its simplest radical form is as follows:
∛28544 = 4∛446
Simplify Cube Root Calculator
We can do more than simplify the cube root of 28544. Enter another cube root below for us to simplify!
Simplify cube root of 28545
Here is the next cube root of a number on our list that we have simplified for you.