Here we will explain how to simplify the cube root of 17634 (∛17634). We start by labeling the parts of ∛17634 so it is easy to follow along:
∛17634 = 1∛17634 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 17634 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 17634, we first find the greatest perfect cube from the list of factors of 17634. The factors of 17634 are 1, 2, 3, 6, 2939, 5878, 8817, and 17634.
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 17634, we divide 17634 by 1, which gives us 17634.
To find the simplified coefficient of the radical (c) in the cube root of 17634, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 17634. Therefore, the cube root of 17634 in its simplest radical form is as follows:
∛17634 = ∛17634
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