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What is the cube root of 217 (∛217)? How do you estimate the cube root of 217? How do you calculate the approximate cube root of 217 without a calculator? How do you find the cube root of 217 with a calculator?

First things first! The cube root of 217 is the number that when multiplied by itself twice equals 217. In other words, the cube root of 217 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 217 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 217. Looking at the list of perfect cubes at the bottom of this page, we can see that 216 is the closest perfect cube to 217.

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 = 217 and c = 216 into our cube root formula, we get the approximate cube root of 217 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛217 ≈ ∛216 + ((217 - 216) ÷ ((∛216)² × 3))

∛217 ≈ 6 + (1 ÷ 108)

∛217 ≈ 6.0092

To get a more exact answer to the cube root of 217 using a calculator, we can press 217, followed by the [∛] button, to get this answer:

∛217 ≈ 6.00924500691737

Cube Root Calculator
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Cube root of 218
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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