To find the square root of the fraction 64/100, we can take the square root of both the numerator and the denominator separately.
The square root of 64 is 8, since 8 * 8 = 64. Similarly, the square root of 100 is 10, because 10 * 10 = 100.
Thus, the square root of the fraction 64/100 is:
√(64/100) = √64 / √100 = 8 / 10
This can be simplified further. Dividing both the numerator and the denominator by their greatest common divisor, which is 2, we get:
8 / 10 = 4 / 5
Therefore, the square root of the fraction 64/100 is 4/5.