What is the square root of 396

The short answer is \( \sqrt{ 396 } = 19.899748742132 \).

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 396.

396 is not a perfect square

Let's look at some math

$$ \LARGE \sqrt{ 396 } = 19.899748742132 $$

Note that \(19.899748742132\) is not a whole number, therefore 396 is not a perfect square.

The next perfect square greater than 396 is 400. The previous perfect square less than 396 is 361.

Square root of 396 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 396 the following two values are equal.

$$ \LARGE \sqrt{ 396 } = 396^{^1/_2} $$

Square root of 396 as a fraction

Since 396 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 396 that value is \(\Large 19 \frac{9}{10}\).

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