Finite Mathematik Beispiele

$\sqrt{\frac{{(1 - 2.9)}^{2} + {(1 - 2.9)}^{2} + {(2 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 1

Subtrahiere $2.9$ von $1$ .

$\sqrt{\frac{{(- 1.9)}^{2} + {(1 - 2.9)}^{2} + {(2 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 2

Potenziere $- 1.9$ mit $2$ .

$\sqrt{\frac{3.61 + {(1 - 2.9)}^{2} + {(2 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 3

Subtrahiere $2.9$ von $1$ .

$\sqrt{\frac{3.61 + {(- 1.9)}^{2} + {(2 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 4

Potenziere $- 1.9$ mit $2$ .

$\sqrt{\frac{3.61 + 3.61 + {(2 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 5

Subtrahiere $2.9$ von $2$ .

$\sqrt{\frac{3.61 + 3.61 + {(- 0.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 6

Potenziere $- 0.9$ mit $2$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 7

Subtrahiere $2.9$ von $3$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + {0.1}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 8

Potenziere $0.1$ mit $2$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 9

Subtrahiere $2.9$ von $3$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + {0.1}^{2} + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 10

Potenziere $0.1$ mit $2$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + {(3 - 2.9)}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 11

Subtrahiere $2.9$ von $3$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + {0.1}^{2} + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 12

Potenziere $0.1$ mit $2$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + {(3 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 13

Subtrahiere $2.9$ von $3$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + {0.1}^{2} + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 14

Potenziere $0.1$ mit $2$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + {(4 - 2.9)}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 15

Subtrahiere $2.9$ von $4$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + {1.1}^{2} + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 16

Potenziere $1.1$ mit $2$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + {(4 - 2.9)}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 17

Subtrahiere $2.9$ von $4$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + {1.1}^{2} + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 18

Potenziere $1.1$ mit $2$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + {(5 - 2.9)}^{2}}{10 - 1}}$

Schritt 19

Subtrahiere $2.9$ von $5$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + {2.1}^{2}}{10 - 1}}$

Schritt 20

Potenziere $2.1$ mit $2$ .

$\sqrt{\frac{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}{10 - 1}}$

Schritt 21

Addiere $3.61$ und $3.61$ .

$\sqrt{\frac{7.22 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}{10 - 1}}$

Schritt 22

Addiere $7.22$ und $0.81$ .

$\sqrt{\frac{8.03 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}{10 - 1}}$

Schritt 23

Addiere $8.03$ und $0.01$ .

$\sqrt{\frac{8.04 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}{10 - 1}}$

Schritt 24

Addiere $8.04$ und $0.01$ .

$\sqrt{\frac{8.05 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}{10 - 1}}$

Schritt 25

Addiere $8.05$ und $0.01$ .

$\sqrt{\frac{8.06 + 0.01 + 1.21 + 1.21 + 4.41}{10 - 1}}$

Schritt 26

Addiere $8.06$ und $0.01$ .

$\sqrt{\frac{8.07 + 1.21 + 1.21 + 4.41}{10 - 1}}$

Schritt 27

Addiere $8.07$ und $1.21$ .

$\sqrt{\frac{9.28 + 1.21 + 4.41}{10 - 1}}$

Schritt 28

Addiere $9.28$ und $1.21$ .

$\sqrt{\frac{10.49 + 4.41}{10 - 1}}$

Schritt 29

Addiere $10.49$ und $4.41$ .

$\sqrt{\frac{14.9}{10 - 1}}$

Schritt 30

Subtrahiere $1$ von $10$ .

$\sqrt{\frac{14.9}{9}}$

Schritt 31

Dividiere $14.9$ durch $9$ .

$\sqrt{1.6\overline{5}}$

Schritt 32

Das Ergebnis kann in mehreren Formen wiedergegeben werden.

Exakte Form:

$\sqrt{1.6\overline{5}}$

Dezimalform:

$1.28668393 \dots$