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What is the cube root of 32 (∛32)? How do you estimate the cube root of 32? How do you calculate the approximate cube root of 32 without a calculator? How do you find the cube root of 32 with a calculator?

First things first! The cube root of 32 is the number that when multiplied by itself twice equals 32. In other words, the cube root of 32 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 32 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 32. Looking at the list of perfect cubes at the bottom of this page, we can see that 27 is the closest perfect cube to 32.

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 = 32 and c = 27 into our cube root formula, we get the approximate cube root of 32 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛32 ≈ ∛27 + ((32 - 27) ÷ ((∛27)² × 3))

∛32 ≈ 3 + (5 ÷ 27)

∛32 ≈ 3.1

To get a more exact answer to the cube root of 32 using a calculator, we can press 32, followed by the [∛] button, to get this answer:

∛32 ≈ 3.1748021039364

Cube Root Calculator
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Cube root of 33
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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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