Here we will explain how to simplify the cube root of 6250 (∛6250). We start by labeling the parts of ∛6250 so it is easy to follow along:
∛6250 = 1∛6250 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 6250 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 6250, we first find the greatest perfect cube from the list of factors of 6250. The factors of 6250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, and 6250.
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 6250, we divide 6250 by 125, which gives us 50.
To find the simplified coefficient of the radical (c) in the cube root of 6250, we take the cube root of 125, which gives us 5.
That is how you simplify the cube root of 6250. Therefore, the cube root of 6250 in its simplest radical form is as follows:
∛6250 = 5∛50
Simplify Cube Root Calculator
We can do more than simplify the cube root of 6250. Enter another cube root below for us to simplify!
Simplify cube root of 6251
Here is the next cube root of a number on our list that we have simplified for you.