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What is the cube root of 36714 (∛36714)? How do you estimate the cube root of 36714? How do you calculate the approximate cube root of 36714 without a calculator? How do you find the cube root of 36714 with a calculator?

First things first! The cube root of 36714 is the number that when multiplied by itself twice equals 36714. In other words, the cube root of 36714 is the A in the following notations: A × A × A or A³.

Here is how to calculate the approximate cube root of 36714 without a calculator by using a cube root estimate formula.

We start by finding the perfect cube that is closest to 36714. Looking at the list of perfect cubes at the bottom of this page, we can see that 35937 is the closest perfect cube to 36714.

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 = 36714 and c = 35937 into our cube root formula, we get the approximate cube root of 36714 as follows:

∛n = ∛c + ((n - c) ÷ ((∛c)² × 3))

∛36714 ≈ ∛35937 + ((36714 - 35937) ÷ ((∛35937)² × 3))

∛36714 ≈ 33 + (777 ÷ 3267)

∛36714 ≈ 33.23


To get a more exact answer to the cube root of 36714 using a calculator, we can press 36714, followed by the [∛] button, to get this answer:

∛36714 ≈ 33.2361390960796

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Cube root of 36715
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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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