Here we will explain how to simplify the cube root of 13696 (∛13696). We start by labeling the parts of ∛13696 so it is easy to follow along:
∛13696 = 1∛13696 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 13696 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 13696, we first find the greatest perfect cube from the list of factors of 13696. The factors of 13696 are 1, 2, 4, 8, 16, 32, 64, 107, 128, 214, 428, 856, 1712, 3424, 6848, and 13696.
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 13696, we divide 13696 by 64, which gives us 214.
To find the simplified coefficient of the radical (c) in the cube root of 13696, we take the cube root of 64, which gives us 4.
That is how you simplify the cube root of 13696. Therefore, the cube root of 13696 in its simplest radical form is as follows:
∛13696 = 4∛214
Simplify Cube Root Calculator
We can do more than simplify the cube root of 13696. Enter another cube root below for us to simplify!
Simplify cube root of 13697
Here is the next cube root of a number on our list that we have simplified for you.