What is the cube root of 45

The short answer is \( \sqrt[3]{ 45 } = 3.556893 \).

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 45.

45 is not a perfect cube

Let's look at some math

$$ \LARGE \sqrt[3]{ 45 } = 3.556893 $$

Note that \(3.556893\) is not a whole number, therefore 45 is not a perfect cube.

The next perfect cube greater than 45 is 64. The previous perfect cube less than 45 is 27.

Cube root of 45 as an exponent

Any cube root can be converted to a number with a fractional exponent. In the case of 45 the following two values are equal.

$$ \LARGE \sqrt[3]{ 45 } = 45^{^1/_3} $$

Cube root of 45 as a fraction

Since 45 is not a perfect cube, sometimes we might want to get a fractional estimate of the cube root value. In the case of 45 that value is \(\Large 3 \frac{44}{79}\).

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