What is the square root of 256

The short answer is \( \sqrt{ 256 } = 16 \).

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 256.

256 is a perfect square

Let's look at some math.

$$ \LARGE \sqrt{ 256 } = 16 $$

The important part is to the right of the equals sign. Since the square root of 256 is a whole number, that means that 256 is a perfect square. The square root of 256 is 16, which is a whole number.

The next perfect square greater than 256 is 289. The previous perfect square less than 256 is 225.

Square root of 256 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 256 the following two values are equal.

$$ \LARGE \sqrt{ 256 } = 256^{^1/_2} $$

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