Here we will explain how to simplify the cube root of 7323 (∛7323). We start by labeling the parts of ∛7323 so it is easy to follow along:
∛7323 = 1∛7323 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 7323 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 7323, we first find the greatest perfect cube from the list of factors of 7323. The factors of 7323 are 1, 3, 2441, and 7323.
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 7323, we divide 7323 by 1, which gives us 7323.
To find the simplified coefficient of the radical (c) in the cube root of 7323, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 7323. Therefore, the cube root of 7323 in its simplest radical form is as follows:
∛7323 = ∛7323
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