Here we will explain how to simplify the cube root of 1407 (∛1407). We start by labeling the parts of ∛1407 so it is easy to follow along:
∛1407 = 1∛1407 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 1407 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 1407, we first find the greatest perfect cube from the list of factors of 1407. The factors of 1407 are 1, 3, 7, 21, 67, 201, 469, and 1407.
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 1407, we divide 1407 by 1, which gives us 1407.
To find the simplified coefficient of the radical (c) in the cube root of 1407, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 1407. Therefore, the cube root of 1407 in its simplest radical form is as follows:
∛1407 = ∛1407
Simplify Cube Root Calculator
We can do more than simplify the cube root of 1407. Enter another cube root below for us to simplify!
Simplify cube root of 1408
Here is the next cube root of a number on our list that we have simplified for you.