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What is the cube root of 25914 (∛25914)? How do you estimate the cube root of 25914? How do you calculate the approximate cube root of 25914 without a calculator? How do you find the cube root of 25914 with a calculator?

First things first! The cube root of 25914 is the number that when multiplied by itself twice equals 25914. In other words, the cube root of 25914 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 25914 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 25914. Looking at the list of perfect cubes at the bottom of this page, we can see that 27000 is the closest perfect cube to 25914.

The formula to estimate the cube root of any number (n) using the closest perfect cube (c) is as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

When we enter n = 25914 and c = 27000 into our cube root formula, we get the approximate cube root of 25914 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛25914 ≈ ∛27000 + ((25914 - 27000) ÷ ((∛27000)² × 3))

∛25914 ≈ 30 + (-1086 ÷ 2700)

∛25914 ≈ 29.59


To get a more exact answer to the cube root of 25914 using a calculator, we can press 25914, followed by the [∛] button, to get this answer:

∛25914 ≈ 29.5922611860462

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Cube root of 25915
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Here is a list of the first 50 perfect cubes. We recommend you study and learn the pattern so you can easily approximate the cube root of any number in the future.

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