What is the square root of 64?

Let's factorize 64 into its prime factors:

64 = 2 x 2 x 2 x 2 x 2 x 2

Now, we group these factors in pairs:

64 = (2 x 2) x (2 x 2) x (2 x 2)

We can simplify this expression by taking the product of one factor from each pair:

sqrt(64) = 2 x 2 x 2 = 8

The square root of a number is a value that, when multiplied by itself, equals the original number.

The square of 8 is 64 (8 x 8 = 64), so the square root of 64 is 8.