Here we will explain how to simplify the cube root of 3430 (∛3430). We start by labeling the parts of ∛3430 so it is easy to follow along:
∛3430 = 1∛3430 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 3430 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 3430, we first find the greatest perfect cube from the list of factors of 3430. The factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, and 3430.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 343 (7 times 7 times 7 equals 343).
To find the simplified radicand (r) in the cube root of 3430, we divide 3430 by 343, which gives us 10.
To find the simplified coefficient of the radical (c) in the cube root of 3430, we take the cube root of 343, which gives us 7.
That is how you simplify the cube root of 3430. Therefore, the cube root of 3430 in its simplest radical form is as follows:
∛3430 = 7∛10
Simplify Cube Root Calculator
We can do more than simplify the cube root of 3430. Enter another cube root below for us to simplify!
Simplify cube root of 3431
Here is the next cube root of a number on our list that we have simplified for you.