# What is the square root of 7

The short answer is $$\sqrt{ 7 } = 2.6457513110646$$.

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 7.

## 7 is not a perfect square

Let's look at some math

$$\LARGE \sqrt{ 7 } = 2.6457513110646$$

Note that $$2.6457513110646$$ is not a whole number, therefore 7 is not a perfect square.

The next perfect square greater than 7 is 9. The previous perfect square less than 7 is 4.

## Square root of 7 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 7 the following two values are equal.

$$\LARGE \sqrt{ 7 } = 7^{^1/_2}$$

## Square root of 7 as a fraction

Since 7 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 7 that value is $$\Large 2 \frac{20}{31}$$.

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