What is the square root of 498

The short answer is \( \sqrt{ 498 } = 22.315913604421 \).

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 498.

498 is not a perfect square

Let's look at some math

$$ \LARGE \sqrt{ 498 } = 22.315913604421 $$

Note that \(22.315913604421\) is not a whole number, therefore 498 is not a perfect square.

The next perfect square greater than 498 is 529. The previous perfect square less than 498 is 484.

Square root of 498 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 498 the following two values are equal.

$$ \LARGE \sqrt{ 498 } = 498^{^1/_2} $$

Square root of 498 as a fraction

Since 498 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 498 that value is \(\Large 22 \frac{6}{19}\).

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