Here we will explain how to simplify the cube root of 1360 (∛1360). We start by labeling the parts of ∛1360 so it is easy to follow along:
∛1360 = 1∛1360 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 1360 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 1360, we first find the greatest perfect cube from the list of factors of 1360. The factors of 1360 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 340, 680, and 1360.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 8 (2 times 2 times 2 equals 8).
To find the simplified radicand (r) in the cube root of 1360, we divide 1360 by 8, which gives us 170.
To find the simplified coefficient of the radical (c) in the cube root of 1360, we take the cube root of 8, which gives us 2.
That is how you simplify the cube root of 1360. Therefore, the cube root of 1360 in its simplest radical form is as follows:
∛1360 = 2∛170
Simplify Cube Root Calculator
We can do more than simplify the cube root of 1360. Enter another cube root below for us to simplify!
Simplify cube root of 1361
Here is the next cube root of a number on our list that we have simplified for you.