Here we will explain how to simplify the cube root of 6415 (∛6415). We start by labeling the parts of ∛6415 so it is easy to follow along:
∛6415 = 1∛6415 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 6415 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 6415, we first find the greatest perfect cube from the list of factors of 6415. The factors of 6415 are 1, 5, 1283, and 6415.
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 6415, we divide 6415 by 1, which gives us 6415.
To find the simplified coefficient of the radical (c) in the cube root of 6415, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 6415. Therefore, the cube root of 6415 in its simplest radical form is as follows:
∛6415 = ∛6415
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