Here we will explain how to simplify the cube root of 15625 (∛15625). We start by labeling the parts of ∛15625 so it is easy to follow along:
∛15625 = 1∛15625 = c∛r
c = coefficient of the radical
∛ = radical
r = radicand
The cube root of 15625 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 15625, we first find the greatest perfect cube from the list of factors of 15625. The factors of 15625 are 1, 5, 25, 125, 625, 3125, and 15625.
Any number multiplied by itself three times will make a perfect cube. The greatest perfect cube from the list of factors above is 15625 (25 times 25 times 25 equals 15625).
To find the simplified radicand (r) in the cube root of 15625, we divide 15625 by 15625, which gives us 1.
To find the simplified coefficient of the radical (c) in the cube root of 15625, we take the cube root of 15625, which gives us 25.
That is how you simplify the cube root of 15625. Therefore, the cube root of 15625 in its simplest radical form is as follows:
∛15625 = 25
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