Here we will explain how to simplify the cube root of 54750 (∛54750). We start by labeling the parts of ∛54750 so it is easy to follow along:
∛54750 = 1∛54750 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 54750 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 54750, we first find the greatest perfect cube from the list of factors of 54750. The factors of 54750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 73, 75, 125, 146, 150, 219, 250, 365, 375, 438, 730, 750, 1095, 1825, 2190, 3650, 5475, 9125, 10950, 18250, 27375, and 54750.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 125 (5 times 5 times 5 equals 125).
To find the simplified radicand (r) in the cube root of 54750, we divide 54750 by 125, which gives us 438.
To find the simplified coefficient of the radical (c) in the cube root of 54750, we take the cube root of 125, which gives us 5.
That is how you simplify the cube root of 54750. Therefore, the cube root of 54750 in its simplest radical form is as follows:
∛54750 = 5∛438
Simplify Cube Root Calculator
We can do more than simplify the cube root of 54750. Enter another cube root below for us to simplify!
Simplify cube root of 54751
Here is the next cube root of a number on our list that we have simplified for you.