Here we will explain how to simplify the cube root of 9970 (∛9970). We start by labeling the parts of ∛9970 so it is easy to follow along:
∛9970 = 1∛9970 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 9970 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 9970, we first find the greatest perfect cube from the list of factors of 9970. The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, and 9970.
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 9970, we divide 9970 by 1, which gives us 9970.
To find the simplified coefficient of the radical (c) in the cube root of 9970, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 9970. Therefore, the cube root of 9970 in its simplest radical form is as follows:
∛9970 = ∛9970
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