Here we will explain how to simplify the cube root of 2662 (∛2662). We start by labeling the parts of ∛2662 so it is easy to follow along:
∛2662 = 1∛2662 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 2662 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 2662, we first find the greatest perfect cube from the list of factors of 2662. The factors of 2662 are 1, 2, 11, 22, 121, 242, 1331, and 2662.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 1331 (11 times 11 times 11 equals 1331).
To find the simplified radicand (r) in the cube root of 2662, we divide 2662 by 1331, which gives us 2.
To find the simplified coefficient of the radical (c) in the cube root of 2662, we take the cube root of 1331, which gives us 11.
That is how you simplify the cube root of 2662. Therefore, the cube root of 2662 in its simplest radical form is as follows:
∛2662 = 11∛2
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