# What is the square root of 564

The short answer is $$\sqrt{ 564 } = 23.748684174076$$.

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 564.

## 564 is not a perfect square

Let's look at some math

$$\LARGE \sqrt{ 564 } = 23.748684174076$$

Note that $$23.748684174076$$ is not a whole number, therefore 564 is not a perfect square.

The next perfect square greater than 564 is 576. The previous perfect square less than 564 is 529.

## Square root of 564 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 564 the following two values are equal.

$$\LARGE \sqrt{ 564 } = 564^{^1/_2}$$

## Square root of 564 as a fraction

Since 564 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 564 that value is $$\Large 23 \frac{140}{187}$$.

## Square Root Calculator

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