用下面的方法确定根号2的前几个小数位上数字

（iii）取（1.25+1.5）/2≈1.4，1.4²=1.96，1.4²＜2＜1.5²，得1.4＜√2＜1.5，即十分位上的数字为4
（iv）取（1.4+1.5）/2=1.45，1.45²≈2.1，由2＜1.45²＜1.5²，得1.4＜√2＜1.45
（v）取（1.4+1.45）/2≈1.43，1.43²≈2.04，由2＜1.43²＜1.45²，得1.4＜√2＜1.43
（v）取（1.4+1.43）/2≈1.42，1.42²≈2.02，由2＜1.42²＜1.43²，得1.4＜√2＜1.42
（vi）取（1.4+1.42）/2=1.41，1.41²≈1.99，由1.41²＜2＜1.42²，得1.41＜√2＜1.42，即百分位上的数字为1

应是(1.25+1.5)/2=1.375
1.375^2<2<1.5^2
1.375<√2<1.5

(1.375+1.5)/2=1.4375
1.375^2<2<1.4375^2
1.375<√2<1.4375

(1.375+1.4375)/2=1.40625
1.40625^2<2<1.4375^2
1.40625<√2<1.4375

(1.40625+1.4375)/2=1.421875
1.40625^2<2<1.421875^2
1.40625<√2<1.421875

(1.40625+1.421875)/2=1.4140625
1.4140625^2<2<1.421875^2
1.4140625<√2<1.421875

(1.4140625+1.421875)/2=1.41796875
1.4140625^2<2<1.41796875^2
1.4140625<√2<1.41796875
√2=1.41