# |
D |
P |
Näherung |
Kettenbruch |
Form |
1 |
0 |
0 |
1,00000 |
[1] |
n2 |
2 |
+1 |
1 |
1,41421 |
[1;2] |
n2 + 1=n |
3 |
-1 |
2 |
1,73205 |
[1;1,2] |
n2 + 2n=2 |
4 |
0 |
0 |
2,00000 |
[2] |
n2 |
5 |
+1 |
1 |
2,23607 |
[2;4] |
n2 + 1 |
6 |
+2 |
2 |
2,44949 |
[2;2,4] |
n2 + 2=n |
8 |
-1 |
2 |
2,82843 |
[2;1,4] |
n2 + 2n |
9 |
0 |
0 |
3,00000 |
[3] |
n2 |
10 |
+1 |
1 |
3,16228 |
[3;6] |
n2 + 1 |
11 |
+2 |
2 |
3,31662 |
[3;3,6] |
n2 + 2 |
12 |
+3 |
2 |
3,46410 |
[3;2,6] |
n2 + n |
15 |
-1 |
2 |
3,87298 |
[3;1,6] |
n2 + 2n |
16 |
0 |
0 |
4,00000 |
[4] |
n2 |
17 |
+1 |
1 |
4,12311 |
[4;8] |
n2 + 1 |
18 |
+2 |
2 |
4,24264 |
[4;4,8] |
n2 + 2 |
20 |
+4 |
2 |
4,47214 |
[4;2,8] |
n2 + n |
24 |
-1 |
2 |
4,89898 |
[4;1,8] |
n2 + 2n |
25 |
0 |
0 |
5,00000 |
[5] |
n2 |
26 |
+1 |
1 |
5,09902 |
[5;10] |
n2 + 1 |
27 |
+2 |
2 |
5,19615 |
[5;5,10] |
n2 + 2 |
30 |
+5 |
2 |
5,47723 |
[5;2,10] |
n2 + n |
35 |
-1 |
2 |
5,91608 |
[5;1,10] |
n2 + 2n |
36 |
0 |
0 |
6,00000 |
[6] |
n2 |
37 |
+1 |
1 |
6,08276 |
[6;12] |
n2 + 1 |
38 |
+2 |
2 |
6,16441 |
[6;6,12] |
n2 + 2 |
39 |
+3 |
2 |
6,24500 |
[6;4,12] |
n2 + 3 |
40 |
+4 |
2 |
6,32456 |
[6;3,12] |
n2 + 4 |
42 |
+6 |
2 |
6,48074 |
[6;2,12] |
n2 + n |
48 |
-1 |
2 |
6,92820 |
[6;1,12] |
n2 + 2n |
49 |
0 |
0 |
7,00000 |
[7] |
n2 |
50 |
+1 |
1 |
7,07107 |
[7;14] |
n2 + 1 |
51 |
+2 |
2 |
7,14143 |
[7;7,14] |
n2 + 2 |
56 |
+7 |
2 |
7,48331 |
[7;2,14] |
n2 + n |
63 |
-1 |
2 |
7,93725 |
[7;1,14] |
n2 + 2n |
64 |
0 |
0 |
8,00000 |
[8] |
n2 |
65 |
+1 |
1 |
8,06226 |
[8;16] |
n2 + 1 |
66 |
+2 |
2 |
8,12404 |
[8;8,16] |
n2 + 2 |
68 |
+4 |
2 |
8,24621 |
[8;4,16] |
n2 + 4 |
72 |
+8 |
2 |
8,48528 |
[8;2,16] |
n2 + n |
80 |
-1 |
2 |
8,94427 |
[8;1,16] |
n2 + 2n |
81 |
0 |
0 |
9,00000 |
[9] |
n2 |
82 |
+1 |
1 |
9,05539 |
[9;18] |
n2 + 1 |
83 |
+2 |
2 |
9,11043 |
[9;9,18] |
n2 + 2 |
84 |
+3 |
2 |
9,16515 |
[9;6,18] |
n2 + 3 |
87 |
+6 |
2 |
9,32738 |
[9;3,18] |
n2 + 6 |
90 |
+9 |
2 |
9,48683 |
[9;2,18] |
n2 + n |
99 |
-1 |
2 |
9,94987 |
[9;1,18] |
n2 + 2n |
100 |
0 |
0 |
10,00000 |
[10] |
n2 |
101 |
+1 |
1 |
10,04988 |
[10;20] |
n2 + 1 |
102 |
+2 |
2 |
10,09950 |
[10;10,20] |
n2 + 2 |
104 |
+4 |
2 |
10,19804 |
[10;5,20] |
n2 + 4 |
105 |
+5 |
2 |
10,24695 |
[10;4,20] |
n2 + 5 |
110 |
+10 |
2 |
10,48809 |
[10;2,20] |
n2 + n |
120 |
-1 |
2 |
10,95445 |
[10;1,20] |
n2 + 2n |
121 |
0 |
0 |
11,00000 |
[11] |
n2 |
122 |
+1 |
1 |
11,04536 |
[11;22] |
n2 + 1 |
123 |
+2 |
2 |
11,09054 |
[11;11,22] |
n2 + 2 |
132 |
+11 |
2 |
11,48913 |
[11;2,22] |
n2 + n |
143 |
-1 |
2 |
11,95826 |
[11;1,22] |
n2 + 2n |
144 |
0 |
0 |
12,00000 |
[12] |
n2 |
145 |
+1 |
1 |
12,04159 |
[12;24] |
n2 + 1 |
146 |
+2 |
2 |
12,08305 |
[12;12,24] |
n2 + 2 |
147 |
+3 |
2 |
12,12436 |
[12;8,24] |
n2 + 3 |
148 |
+4 |
2 |
12,16553 |
[12;6,24] |
n2 + 4 |
150 |
+6 |
2 |
12,24745 |
[12;4,24] |
n2 + 6 |
152 |
+8 |
2 |
12,32883 |
[12;3,24] |
n2 + 8 |
156 |
+12 |
2 |
12,49000 |
[12;2,24] |
n2 + n |
168 |
-1 |
2 |
12,96148 |
[12;1,24] |
n2 + 2n |