What is the cube root of 5

The short answer is \( \sqrt[3]{ 5 } = 1.709976 \).

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 5.

5 is not a perfect cube

Let's look at some math

$$ \LARGE \sqrt[3]{ 5 } = 1.709976 $$

Note that \(1.709976\) is not a whole number, therefore 5 is not a perfect cube.

The next perfect cube greater than 5 is 8. The previous perfect cube less than 5 is 1.

Cube root of 5 as an exponent

Any cube root can be converted to a number with a fractional exponent. In the case of 5 the following two values are equal.

$$ \LARGE \sqrt[3]{ 5 } = 5^{^1/_3} $$

Cube root of 5 as a fraction

Since 5 is not a perfect cube, sometimes we might want to get a fractional estimate of the cube root value. In the case of 5 that value is \(\Large 1 \frac{22}{31}\).

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