Here we will explain how to simplify the cube root of 14739 (∛14739). We start by labeling the parts of ∛14739 so it is easy to follow along:
∛14739 = 1∛14739 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 14739 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 14739, we first find the greatest perfect cube from the list of factors of 14739. The factors of 14739 are 1, 3, 17, 51, 289, 867, 4913, and 14739.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 4913 (17 times 17 times 17 equals 4913).
To find the simplified radicand (r) in the cube root of 14739, we divide 14739 by 4913, which gives us 3.
To find the simplified coefficient of the radical (c) in the cube root of 14739, we take the cube root of 4913, which gives us 17.
That is how you simplify the cube root of 14739. Therefore, the cube root of 14739 in its simplest radical form is as follows:
∛14739 = 17∛3
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