What is the cube root of 15

The short answer is \( \sqrt[3]{ 15 } = 2.466212 \).

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 15.

15 is not a perfect cube

Let's look at some math

$$ \LARGE \sqrt[3]{ 15 } = 2.466212 $$

Note that \(2.466212\) is not a whole number, therefore 15 is not a perfect cube.

The next perfect cube greater than 15 is 27. The previous perfect cube less than 15 is 8.

Cube root of 15 as an exponent

Any cube root can be converted to a number with a fractional exponent. In the case of 15 the following two values are equal.

$$ \LARGE \sqrt[3]{ 15 } = 15^{^1/_3} $$

Cube root of 15 as a fraction

Since 15 is not a perfect cube, sometimes we might want to get a fractional estimate of the cube root value. In the case of 15 that value is \(\Large 2 \frac{7}{15}\).

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