# What is the square root of 166

The short answer is $$\sqrt{ 166 } = 12.884098726725$$.

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 166.

## 166 is not a perfect square

Let's look at some math

$$\LARGE \sqrt{ 166 } = 12.884098726725$$

Note that $$12.884098726725$$ is not a whole number, therefore 166 is not a perfect square.

The next perfect square greater than 166 is 169. The previous perfect square less than 166 is 144.

## Square root of 166 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 166 the following two values are equal.

$$\LARGE \sqrt{ 166 } = 166^{^1/_2}$$

## Square root of 166 as a fraction

Since 166 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 166 that value is $$\Large 12 \frac{23}{26}$$.

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