What is the square root of 633

The short answer is \( \sqrt{ 633 } = 25.159491250818 \).

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 633.

633 is not a perfect square

Let's look at some math

$$ \LARGE \sqrt{ 633 } = 25.159491250818 $$

Note that \(25.159491250818\) is not a whole number, therefore 633 is not a perfect square.

The next perfect square greater than 633 is 676. The previous perfect square less than 633 is 625.

Square root of 633 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 633 the following two values are equal.

$$ \LARGE \sqrt{ 633 } = 633^{^1/_2} $$

Square root of 633 as a fraction

Since 633 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 633 that value is \(\Large 25 \frac{11}{69}\).

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