Here we will explain how to simplify the cube root of 16464 (∛16464). We start by labeling the parts of ∛16464 so it is easy to follow along:
∛16464 = 1∛16464 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 16464 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 16464, we first find the greatest perfect cube from the list of factors of 16464. The factors of 16464 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 343, 392, 588, 686, 784, 1029, 1176, 1372, 2058, 2352, 2744, 4116, 5488, 8232, and 16464.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 2744 (14 times 14 times 14 equals 2744).
To find the simplified radicand (r) in the cube root of 16464, we divide 16464 by 2744, which gives us 6.
To find the simplified coefficient of the radical (c) in the cube root of 16464, we take the cube root of 2744, which gives us 14.
That is how you simplify the cube root of 16464. Therefore, the cube root of 16464 in its simplest radical form is as follows:
∛16464 = 14∛6
Simplify Cube Root Calculator
We can do more than simplify the cube root of 16464. Enter another cube root below for us to simplify!
Simplify cube root of 16465
Here is the next cube root of a number on our list that we have simplified for you.