Here we will explain how to simplify the cube root of 16896 (∛16896). We start by labeling the parts of ∛16896 so it is easy to follow along:
∛16896 = 1∛16896 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 16896 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 16896, we first find the greatest perfect cube from the list of factors of 16896. The factors of 16896 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 512, 528, 704, 768, 1056, 1408, 1536, 2112, 2816, 4224, 5632, 8448, and 16896.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 512 (8 times 8 times 8 equals 512).
To find the simplified radicand (r) in the cube root of 16896, we divide 16896 by 512, which gives us 33.
To find the simplified coefficient of the radical (c) in the cube root of 16896, we take the cube root of 512, which gives us 8.
That is how you simplify the cube root of 16896. Therefore, the cube root of 16896 in its simplest radical form is as follows:
∛16896 = 8∛33
Simplify Cube Root Calculator
We can do more than simplify the cube root of 16896. Enter another cube root below for us to simplify!
Simplify cube root of 16897
Here is the next cube root of a number on our list that we have simplified for you.