What is the square root of 213

The short answer is \( \sqrt{ 213 } = 14.594519519326 \).

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 213.

213 is not a perfect square

Let's look at some math

$$ \LARGE \sqrt{ 213 } = 14.594519519326 $$

Note that \(14.594519519326\) is not a whole number, therefore 213 is not a perfect square.

The next perfect square greater than 213 is 225. The previous perfect square less than 213 is 196.

Square root of 213 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 213 the following two values are equal.

$$ \LARGE \sqrt{ 213 } = 213^{^1/_2} $$

Square root of 213 as a fraction

Since 213 is not a perfect square, sometimes we might want to get a fractional estimate of the square root value. In the case of 213 that value is \(\Large 14 \frac{22}{37}\).

Square Root Calculator

Enter any number up to 1,000,000 in this field to calculate the square root

Nearby Square Roots