What is the square root of 334

The short answer is \( \sqrt{ 334 } = 18.275666882497 \).

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 334.

334 is not a perfect square

Let's look at some math

$$ \LARGE \sqrt{ 334 } = 18.275666882497 $$

Note that \(18.275666882497\) is not a whole number, therefore 334 is not a perfect square.

The next perfect square greater than 334 is 361. The previous perfect square less than 334 is 324.

Square root of 334 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 334 the following two values are equal.

$$ \LARGE \sqrt{ 334 } = 334^{^1/_2} $$

Square root of 334 as a fraction

Since 334 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 334 that value is \(\Large 18 \frac{8}{29}\).

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