Question

用求根号2的近似值的方法，求根号5的近似值，，写出精确到十分位的近似数。你能将根号5的近似值精确到那

用求根号2的近似值的方法，求根号5的近似值，，写出精确到十分位的近似数。你能将根号5的近似值精确到那一位？

Answer 1

2²=4<5

2.5²=6.25>5

[(2+2.5)/2]²=2.25²=5.0625>5
[(2.25+2)/2]²=2.125²=4.515625<5
[(2.125+2.25)/2]²=2.1875=4.78515625<5
[2.1875+2.25)/2]²=2.21875²≈4.92285<5
[(2.21875+2.25)/2]²=2.234375²≈4.9924316<5
[(2.234375+2.25)/2]²=2.2421875²≈5.0274>5
[(2.234375+2.2421875)/2]²=2.23783125²≈5.00788>0
[(2.234375+2.23783125)/2]²=2.2361031²≈5.00157>0
[(2.234375+2.2361031)/2]²=2.235253²≈4.996366<0
∴√5在(2.235253,2.2361031)之间
∴√5≈2.24

追问

能不能简单一点，看不懂。。。