What is the square root of 333

The short answer is \( \sqrt{ 333 } = 18.248287590895 \).

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 333.

333 is not a perfect square

Let's look at some math

$$ \LARGE \sqrt{ 333 } = 18.248287590895 $$

Note that \(18.248287590895\) is not a whole number, therefore 333 is not a perfect square.

The next perfect square greater than 333 is 361. The previous perfect square less than 333 is 324.

Square root of 333 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 333 the following two values are equal.

$$ \LARGE \sqrt{ 333 } = 333^{^1/_2} $$

Square root of 333 as a fraction

Since 333 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 333 that value is \(\Large 18 \frac{36}{145}\).

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