What is the cube root of 10

The short answer is \( \sqrt[3]{ 10 } = 2.154435 \).

If that's all you're looking for, thanks for coming by. But if you're interested in the hows and whys behind cube roots, continue reading and we'll tell you all about the cube root of 10.

10 is not a perfect cube

Let's look at some math

$$ \LARGE \sqrt[3]{ 10 } = 2.154435 $$

Note that \(2.154435\) is not a whole number, therefore 10 is not a perfect cube.

The next perfect cube greater than 10 is 27. The previous perfect cube less than 10 is 8.

Cube root of 10 as an exponent

Any cube root can be converted to a number with a fractional exponent. In the case of 10 the following two values are equal.

$$ \LARGE \sqrt[3]{ 10 } = 10^{^1/_3} $$

Cube root of 10 as a fraction

Since 10 is not a perfect cube, sometimes we might want to get a fractional estimate of the cube root value. In the case of 10 that value is \(\Large 2 \frac{19}{123}\).

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