Question: can the square root of 5 be simplified

Answer: Yes, which can be rounded down to 2.236 to within 99.99% accuracy. The approximation 161/72 (≈ 2.23611) for the square root of five can be used. Despite having a denominator of only 72, it differs from the correct value by less than 1/10,000 (approx. 6995430000000000000♠4.3×10). As of December 2013, its numerical value in decimal has been computed to at least ten billion digits.