Here we will explain how to simplify the cube root of 3816 (∛3816). We start by labeling the parts of ∛3816 so it is easy to follow along:
∛3816 = 1∛3816 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 3816 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 3816, we first find the greatest perfect cube from the list of factors of 3816. The factors of 3816 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 53, 72, 106, 159, 212, 318, 424, 477, 636, 954, 1272, 1908, and 3816.
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 3816, we divide 3816 by 8, which gives us 477.
To find the simplified coefficient of the radical (c) in the cube root of 3816, we take the cube root of 8, which gives us 2.
That is how you simplify the cube root of 3816. Therefore, the cube root of 3816 in its simplest radical form is as follows:
∛3816 = 2∛477
Simplify Cube Root Calculator
We can do more than simplify the cube root of 3816. Enter another cube root below for us to simplify!
Simplify cube root of 3817
Here is the next cube root of a number on our list that we have simplified for you.