# What is the cube root of 40

The short answer is $$\sqrt{ 40 } = 3.419952$$.

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 40.

## 40 is not a perfect cube

Let's look at some math

$$\LARGE \sqrt{ 40 } = 3.419952$$

Note that $$3.419952$$ is not a whole number, therefore 40 is not a perfect cube.

The next perfect cube greater than 40 is 64. The previous perfect cube less than 40 is 27.

## Cube root of 40 as an exponent

Any cube root can be converted to a number with a fractional exponent. In the case of 40 the following two values are equal.

$$\LARGE \sqrt{ 40 } = 40^{^1/_3}$$

## Cube root of 40 as a fraction

Since 40 is not a perfect cube, sometimes we might want to get a fractional estimate of the cube root value. In the case of 40 that value is $$\Large 3 \frac{21}{50}$$.

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