Here we will explain how to simplify the cube root of 2765 (∛2765). We start by labeling the parts of ∛2765 so it is easy to follow along:
∛2765 = 1∛2765 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 2765 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 2765, we first find the greatest perfect cube from the list of factors of 2765. The factors of 2765 are 1, 5, 7, 35, 79, 395, 553, and 2765.
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 2765, we divide 2765 by 1, which gives us 2765.
To find the simplified coefficient of the radical (c) in the cube root of 2765, we take the cube root of 1, which gives us 1.
That is how you simplify the cube root of 2765. Therefore, the cube root of 2765 in its simplest radical form is as follows:
∛2765 = ∛2765
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