Simplify cube root of 3447




Here we will explain how to simplify the cube root of 3447 (∛3447). We start by labeling the parts of ∛3447 so it is easy to follow along:

∛3447 = 1∛3447 = c∛r

c = coefficient of the radical

∛ = radical

r = radicand

The cube root of 3447 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 3447, we first find the greatest perfect cube from the list of factors of 3447. The factors of 3447 are 1, 3, 9, 383, 1149, and 3447.

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 3447, we divide 3447 by 1, which gives us 3447.

To find the simplified coefficient of the radical (c) in the cube root of 3447, we take the cube root of 1, which gives us 1.

That is how you simplify the cube root of 3447. Therefore, the cube root of 3447 in its simplest radical form is as follows:

∛3447 = ∛3447


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