Square root of 3 billion digits. The fraction (…) for the square root of three can be used as an approximation. Despite having a denominator of only 56, it differs from the correct value by less than (approximately ). The rounded value of 1.732 is correct to within 0.01% of the actual value. Archimedes reported , accurate to (six decimal places) and (four decimal places), respectively. It can be expressed as the continued fraction , expanded on the right. It can also be expressed by generalized continued fractions such as which is evaluated at every second term. The following nested square expressions converge to
Square Root Day Square Root Day Square Root Day is an unofficial holiday celebrated on days when both the day of the month and the month are the square root of the last two digits of the year. For example, the last Square Root Day was April 4, 2016 (4/4/16), and the next Square Root Day will be May 5, 2025 (5/5/25). The final Square Root Day of the century will occur on September 9, 2081. Square Root Days fall upon the same nine dates each century. Ron Gordon, a Redwood City, California high school teacher, created the first Square Root Day for