What is the square root of 223
The short answer is \( \sqrt{ 223 } = 14.933184523068 \).
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 223.
223 is not a perfect square
Let's look at some math
$$ \LARGE \sqrt{ 223 } = 14.933184523068 $$
Note that \(14.933184523068\) is not a whole number, therefore 223 is not a perfect square.
The next perfect square greater than 223 is 225. The previous perfect square less than 223 is 196.
Square root of 223 as an exponent
Any square root can be converted to a number with a fractional exponent. In the case of 223 the following two values are equal.
$$ \LARGE \sqrt{ 223 } = 223^{^1/_2} $$
Square root of 223 as a fraction
Since 223 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 223 that value is \(\Large 14 \frac{14}{15}\).
Square Root Calculator
Enter any number up to 1,000,000 in this field to calculate the square root