What is the square root of 528

The short answer is \( \sqrt{ 528 } = 22.978250586152 \).

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 528.

528 is not a perfect square

Let's look at some math

$$ \LARGE \sqrt{ 528 } = 22.978250586152 $$

Note that \(22.978250586152\) is not a whole number, therefore 528 is not a perfect square.

The next perfect square greater than 528 is 529. The previous perfect square less than 528 is 484.

Square root of 528 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 528 the following two values are equal.

$$ \LARGE \sqrt{ 528 } = 528^{^1/_2} $$

Square root of 528 as a fraction

Since 528 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 528 that value is \(\Large 22 \frac{44}{45}\).

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