Here we will explain how to simplify the cube root of 13716 (∛13716). We start by labeling the parts of ∛13716 so it is easy to follow along:
∛13716 = 1∛13716 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 13716 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 13716, we first find the greatest perfect cube from the list of factors of 13716. The factors of 13716 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 127, 254, 381, 508, 762, 1143, 1524, 2286, 3429, 4572, 6858, and 13716.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 27 (3 times 3 times 3 equals 27).
To find the simplified radicand (r) in the cube root of 13716, we divide 13716 by 27, which gives us 508.
To find the simplified coefficient of the radical (c) in the cube root of 13716, we take the cube root of 27, which gives us 3.
That is how you simplify the cube root of 13716. Therefore, the cube root of 13716 in its simplest radical form is as follows:
∛13716 = 3∛508
Simplify Cube Root Calculator
We can do more than simplify the cube root of 13716. Enter another cube root below for us to simplify!
Simplify cube root of 13717
Here is the next cube root of a number on our list that we have simplified for you.