# What is the square root of 478

The short answer is $$\sqrt{ 478 } = 21.863211109075$$.

If that's all you're looking for, thanks for coming by. But if you're interested in the hows and whys behind square roots, continue reading and we'll tell you all about the square root of 478.

## 478 is not a perfect square

Let's look at some math

$$\LARGE \sqrt{ 478 } = 21.863211109075$$

Note that $$21.863211109075$$ is not a whole number, therefore 478 is not a perfect square.

The next perfect square greater than 478 is 484. The previous perfect square less than 478 is 441.

## Square root of 478 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 478 the following two values are equal.

$$\LARGE \sqrt{ 478 } = 478^{^1/_2}$$

## Square root of 478 as a fraction

Since 478 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 478 that value is $$\Large 21 \frac{19}{22}$$.

## Square Root Calculator

Enter any number up to 1,000,000 in this field to calculate the square root