Simplify cube root of 6636




Here we will explain how to simplify the cube root of 6636 (∛6636). We start by labeling the parts of ∛6636 so it is easy to follow along:

∛6636 = 1∛6636 = c∛r

c = coefficient of the radical

∛ = radical

r = radicand

The cube root of 6636 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 6636, we first find the greatest perfect cube from the list of factors of 6636. The factors of 6636 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 79, 84, 158, 237, 316, 474, 553, 948, 1106, 1659, 2212, 3318, and 6636.

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 6636, we divide 6636 by 1, which gives us 6636.

To find the simplified coefficient of the radical (c) in the cube root of 6636, we take the cube root of 1, which gives us 1.

That is how you simplify the cube root of 6636. Therefore, the cube root of 6636 in its simplest radical form is as follows:

∛6636 = ∛6636


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