What is the square root of 725

The short answer is \( \sqrt{ 725 } = 26.925824035673 \).

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 725.

725 is not a perfect square

Let's look at some math

$$ \LARGE \sqrt{ 725 } = 26.925824035673 $$

Note that \(26.925824035673\) is not a whole number, therefore 725 is not a perfect square.

The next perfect square greater than 725 is 729. The previous perfect square less than 725 is 676.

Square root of 725 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 725 the following two values are equal.

$$ \LARGE \sqrt{ 725 } = 725^{^1/_2} $$

Square root of 725 as a fraction

Since 725 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 725 that value is \(\Large 26 \frac{25}{27}\).

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