Here we will explain how to simplify the cube root of 83648 (∛83648). We start by labeling the parts of ∛83648 so it is easy to follow along:
∛83648 = 1∛83648 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 83648 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 83648, we first find the greatest perfect cube from the list of factors of 83648. The factors of 83648 are 1, 2, 4, 8, 16, 32, 64, 1307, 2614, 5228, 10456, 20912, 41824, and 83648.
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 83648, we divide 83648 by 64, which gives us 1307.
To find the simplified coefficient of the radical (c) in the cube root of 83648, we take the cube root of 64, which gives us 4.
That is how you simplify the cube root of 83648. Therefore, the cube root of 83648 in its simplest radical form is as follows:
∛83648 = 4∛1307
Simplify Cube Root Calculator
We can do more than simplify the cube root of 83648. Enter another cube root below for us to simplify!
Simplify cube root of 83649
Here is the next cube root of a number on our list that we have simplified for you.