Here we will explain how to simplify the cube root of 5669 (∛5669). We start by labeling the parts of ∛5669 so it is easy to follow along:
∛5669 = 1∛5669 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 5669 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 5669, we first find the greatest perfect cube from the list of factors of 5669. The factors of 5669 are 1 and 5669.
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 5669, we divide 5669 by 1, which gives us 5669.
To find the simplified coefficient of the radical (c) in the cube root of 5669, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 5669. Therefore, the cube root of 5669 in its simplest radical form is as follows:
∛5669 = ∛5669
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