What is the square root of 64

The short answer is \( \sqrt{ 64 } = 8 \).

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 64.

64 is a perfect square

Let's look at some math.

$$ \LARGE \sqrt{ 64 } = 8 $$

The important part is to the right of the equals sign. Since the square root of 64 is a whole number, that means that 64 is a perfect square. The square root of 64 is 8, which is a whole number.

The next perfect square greater than 64 is 81. The previous perfect square less than 64 is 49.

Square root of 64 as an exponent

Any square root can be converted to a number with a fractional exponent. In the case of 64 the following two values are equal.

$$ \LARGE \sqrt{ 64 } = 64^{^1/_2} $$

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