# What is the square root of 172

The short answer is $$\sqrt{ 172 } = 13.114877048604$$.

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 172.

## 172 is not a perfect square

Let's look at some math

$$\LARGE \sqrt{ 172 } = 13.114877048604$$

Note that $$13.114877048604$$ is not a whole number, therefore 172 is not a perfect square.

The next perfect square greater than 172 is 196. The previous perfect square less than 172 is 169.

## Square root of 172 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 172 the following two values are equal.

$$\LARGE \sqrt{ 172 } = 172^{^1/_2}$$

## Square root of 172 as a fraction

Since 172 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 172 that value is $$\Large 13 \frac{10}{87}$$.

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