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What is the cube root of 9 (∛9)? How do you estimate the cube root of 9? How do you calculate the approximate cube root of 9 without a calculator? How do you find the cube root of 9 with a calculator?

First things first! The cube root of 9 is the number that when multiplied by itself twice equals 9. In other words, the cube root of 9 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 9 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 9. Looking at the list of perfect cubes at the bottom of this page, we can see that 8 is the closest perfect cube to 9.

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 = 9 and c = 8 into our cube root formula, we get the approximate cube root of 9 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛9 ≈ ∛8 + ((9 - 8) ÷ ((∛8)² × 3))

∛9 ≈ 2 + (1 ÷ 12)

∛9 ≈ 2.08

To get a more exact answer to the cube root of 9 using a calculator, we can press 9, followed by the [∛] button, to get this answer:

∛9 ≈ 2.0800838230519

Cube Root Calculator
We can do more than calculate the cube root of 9. Enter another cube root below for us to work on!

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Cube root of 10
Here is the next cube root on our list that we have calculated for you.

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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