Here we will explain how to simplify the cube root of 4644 (∛4644). We start by labeling the parts of ∛4644 so it is easy to follow along:
∛4644 = 1∛4644 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 4644 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 4644, we first find the greatest perfect cube from the list of factors of 4644. The factors of 4644 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 43, 54, 86, 108, 129, 172, 258, 387, 516, 774, 1161, 1548, 2322, and 4644.
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 4644, we divide 4644 by 27, which gives us 172.
To find the simplified coefficient of the radical (c) in the cube root of 4644, we take the cube root of 27, which gives us 3.
That is how you simplify the cube root of 4644. Therefore, the cube root of 4644 in its simplest radical form is as follows:
∛4644 = 3∛172
Simplify Cube Root Calculator
We can do more than simplify the cube root of 4644. Enter another cube root below for us to simplify!
Simplify cube root of 4645
Here is the next cube root of a number on our list that we have simplified for you.