Finite Mathematik Beispiele

\sqrt{\frac{{(0.51 - 3.21)}^{2} + {(0.52 - 3.21)}^{2} + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{{(0.51 - 3.21)}^{2} + {(0.52 - 3.21)}^{2} + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 1

Subtrahiere

3.21

$3.21$ von

0.51

$0.51$ .

\sqrt{\frac{{(- 2.7)}^{2} + {(0.52 - 3.21)}^{2} + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{{(- 2.7)}^{2} + {(0.52 - 3.21)}^{2} + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 2

Potenziere

- 2.7

$- 2.7$ mit

2

$2$ .

\sqrt{\frac{7.29 + {(0.52 - 3.21)}^{2} + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{7.29 + {(0.52 - 3.21)}^{2} + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 3

Subtrahiere

3.21

$3.21$ von

0.52

$0.52$ .

\sqrt{\frac{7.29 + {(- 2.69)}^{2} + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{7.29 + {(- 2.69)}^{2} + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 4

Potenziere

- 2.69

$- 2.69$ mit

2

$2$ .

\sqrt{\frac{7.29 + 7.2361 + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{7.29 + 7.2361 + {(0.61 - 3.21)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 5

Subtrahiere

3.21

$3.21$ von

0.61

$0.61$ .

\sqrt{\frac{7.29 + 7.2361 + {(- 2.6)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{7.29 + 7.2361 + {(- 2.6)}^{2} + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 6

Potenziere

- 2.6

$- 2.6$ mit

2

$2$ .

\sqrt{\frac{7.29 + 7.2361 + 6.76 + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{7.29 + 7.2361 + 6.76 + {(1.19 - 3.21)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 7

Subtrahiere

3.21

$3.21$ von

1.19

$1.19$ .

\sqrt{\frac{7.29 + 7.2361 + 6.76 + {(- 2.02)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{7.29 + 7.2361 + 6.76 + {(- 2.02)}^{2} + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 8

Potenziere

- 2.02

$- 2.02$ mit

2

$2$ .

\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + {(2.57 - 3.21)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 9

Subtrahiere

3.21

$3.21$ von

2.57

$2.57$ .

\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + {(- 0.64)}^{2} + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + {(- 0.64)}^{2} + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 10

Potenziere

- 0.64

$- 0.64$ mit

2

$2$ .

\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + 0.4096 + {(2.62 - 3.21)}^{2}}{11}}

$\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + 0.4096 + {(2.62 - 3.21)}^{2}}{11}}$

Schritt 11

Subtrahiere

3.21

$3.21$ von

2.62

$2.62$ .

\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + 0.4096 + {(- 0.59)}^{2}}{11}}

$\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + 0.4096 + {(- 0.59)}^{2}}{11}}$

Schritt 12

Potenziere

- 0.59

$- 0.59$ mit

2

$2$ .

\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + 0.4096 + 0.3481}{11}}

$\sqrt{\frac{7.29 + 7.2361 + 6.76 + 4.0804 + 0.4096 + 0.3481}{11}}$

Schritt 13

Addiere

7.29

$7.29$ und

7.2361

$7.2361$ .

\sqrt{\frac{14.5261 + 6.76 + 4.0804 + 0.4096 + 0.3481}{11}}

$\sqrt{\frac{14.5261 + 6.76 + 4.0804 + 0.4096 + 0.3481}{11}}$

Schritt 14

Addiere

14.5261

$14.5261$ und

6.76

$6.76$ .

\sqrt{\frac{21.2861 + 4.0804 + 0.4096 + 0.3481}{11}}

$\sqrt{\frac{21.2861 + 4.0804 + 0.4096 + 0.3481}{11}}$

Schritt 15

Addiere

21.2861

$21.2861$ und

4.0804

$4.0804$ .

\sqrt{\frac{25.3665 + 0.4096 + 0.3481}{11}}

$\sqrt{\frac{25.3665 + 0.4096 + 0.3481}{11}}$

Schritt 16

Addiere

25.3665

$25.3665$ und

0.4096

$0.4096$ .

\sqrt{\frac{25.7761 + 0.3481}{11}}

$\sqrt{\frac{25.7761 + 0.3481}{11}}$

Schritt 17

Addiere

25.7761

$25.7761$ und

0.3481

$0.3481$ .

\sqrt{\frac{26.1242}{11}}

$\sqrt{\frac{26.1242}{11}}$

Schritt 18

Dividiere

26.1242

$26.1242$ durch

11

$11$ .

\sqrt{2.3749\overline{27}}

$\sqrt{2.3749\overline{27}}$

Schritt 19

Das Ergebnis kann in mehreren Formen wiedergegeben werden.

Exakte Form:

\sqrt{2.3749\overline{27}}

$\sqrt{2.3749\overline{27}}$

Dezimalform:

1.54107990 \dots

$1.54107990 \dots$