Here we will explain how to simplify the cube root of 9490 (∛9490). We start by labeling the parts of ∛9490 so it is easy to follow along:
∛9490 = 1∛9490 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 9490 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 9490, we first find the greatest perfect cube from the list of factors of 9490. The factors of 9490 are 1, 2, 5, 10, 13, 26, 65, 73, 130, 146, 365, 730, 949, 1898, 4745, and 9490.
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 9490, we divide 9490 by 1, which gives us 9490.
To find the simplified coefficient of the radical (c) in the cube root of 9490, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 9490. Therefore, the cube root of 9490 in its simplest radical form is as follows:
∛9490 = ∛9490
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