Here we will explain how to simplify the cube root of 87497 (∛87497). We start by labeling the parts of ∛87497 so it is easy to follow along:
∛87497 = 1∛87497 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 87497 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 87497, we first find the greatest perfect cube from the list of factors of 87497. The factors of 87497 are 1, 59, 1483, and 87497.
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 87497, we divide 87497 by 1, which gives us 87497.
To find the simplified coefficient of the radical (c) in the cube root of 87497, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 87497. Therefore, the cube root of 87497 in its simplest radical form is as follows:
∛87497 = ∛87497
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