# What is the square root of 192

The short answer is $$\sqrt{ 192 } = 13.856406460551$$.

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 192.

## 192 is not a perfect square

Let's look at some math

$$\LARGE \sqrt{ 192 } = 13.856406460551$$

Note that $$13.856406460551$$ is not a whole number, therefore 192 is not a perfect square.

The next perfect square greater than 192 is 196. The previous perfect square less than 192 is 169.

## Square root of 192 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 192 the following two values are equal.

$$\LARGE \sqrt{ 192 } = 192^{^1/_2}$$

## Square root of 192 as a fraction

Since 192 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 192 that value is $$\Large 13 \frac{6}{7}$$.

## Square Root Calculator

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