# What is the square root of 51

The short answer is $$\sqrt{ 51 } = 7.1414284285429$$.

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 51.

## 51 is not a perfect square

Let's look at some math

$$\LARGE \sqrt{ 51 } = 7.1414284285429$$

Note that $$7.1414284285429$$ is not a whole number, therefore 51 is not a perfect square.

The next perfect square greater than 51 is 64. The previous perfect square less than 51 is 49.

## Square root of 51 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 51 the following two values are equal.

$$\LARGE \sqrt{ 51 } = 51^{^1/_2}$$

## Square root of 51 as a fraction

Since 51 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 51 that value is $$\Large 7 \frac{14}{99}$$.

## Square Root Calculator

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