Here we will explain how to simplify the cube root of 87770 (∛87770). We start by labeling the parts of ∛87770 so it is easy to follow along:
∛87770 = 1∛87770 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 87770 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 87770, we first find the greatest perfect cube from the list of factors of 87770. The factors of 87770 are 1, 2, 5, 10, 67, 131, 134, 262, 335, 655, 670, 1310, 8777, 17554, 43885, and 87770.
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 87770, we divide 87770 by 1, which gives us 87770.
To find the simplified coefficient of the radical (c) in the cube root of 87770, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 87770. Therefore, the cube root of 87770 in its simplest radical form is as follows:
∛87770 = ∛87770
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