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What is the cube root of 269 (∛269)? How do you estimate the cube root of 269? How do you calculate the approximate cube root of 269 without a calculator? How do you find the cube root of 269 with a calculator?

First things first! The cube root of 269 is the number that when multiplied by itself twice equals 269. In other words, the cube root of 269 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 269 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 269. Looking at the list of perfect cubes at the bottom of this page, we can see that 216 is the closest perfect cube to 269.

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 = 269 and c = 216 into our cube root formula, we get the approximate cube root of 269 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛269 ≈ ∛216 + ((269 - 216) ÷ ((∛216)² × 3))

∛269 ≈ 6 + (53 ÷ 108)

∛269 ≈ 6.4

To get a more exact answer to the cube root of 269 using a calculator, we can press 269, followed by the [∛] button, to get this answer:

∛269 ≈ 6.45531481093889

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Cube root of 270
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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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