Here we will explain how to simplify the cube root of 119 (∛119). We start by labeling the parts of ∛119 so it is easy to follow along:
∛119 = 1∛119 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 119 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 119, we first find the greatest perfect cube from the list of factors of 119. The factors of 119 are 1, 7, 17, and 119.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 1 (1 times 1 times 1 equals 1).
To find the simplified radicand (r) in the cube root of 119, we divide 119 by 1, which gives us 119.
To find the simplified coefficient of the radical (c) in the cube root of 119, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 119. Therefore, the cube root of 119 in its simplest radical form is as follows:
∛119 = ∛119
Simplify Cube Root Calculator
We can do more than simplify the cube root of 119. Enter another cube root below for us to simplify!
Simplify cube root of 120
Here is the next cube root of a number on our list that we have simplified for you.