Here we will explain how to simplify the cube root of 7162 (∛7162). We start by labeling the parts of ∛7162 so it is easy to follow along:
∛7162 = 1∛7162 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 7162 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 7162, we first find the greatest perfect cube from the list of factors of 7162. The factors of 7162 are 1, 2, 3581, and 7162.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 1 (1 times 1 times 1 equals 1).
To find the simplified radicand (r) in the cube root of 7162, we divide 7162 by 1, which gives us 7162.
To find the simplified coefficient of the radical (c) in the cube root of 7162, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 7162. Therefore, the cube root of 7162 in its simplest radical form is as follows:
∛7162 = ∛7162
Simplify Cube Root Calculator
We can do more than simplify the cube root of 7162. Enter another cube root below for us to simplify!
Simplify cube root of 7163
Here is the next cube root of a number on our list that we have simplified for you.