The square root of 64 is 8. When we talk about square roots, we are looking for a number that, when multiplied by itself, gives us the original number. In the case of 64, the equation 8 x 8 = 64 holds true, making 8 the square root. Square roots can be both positive and negative, but standard convention typically refers to the principal (non-negative) root when discussing square roots. Therefore, the square root of 64 can also be expressed as ±8, but when asked for the square root, 8 is the answer generally expected.