Matemática discreta Ejemplos

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

Paso 1

Resta $2.9$ de $1$ .

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

Paso 2

Eleva $- 1.9$ a la potencia de $2$ .

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

Paso 3

Resta $2.9$ de $1$ .

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

Paso 4

Eleva $- 1.9$ a la potencia de $2$ .

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

Paso 5

Resta $2.9$ de $2$ .

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

Paso 6

Eleva $- 0.9$ a la potencia de $2$ .

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

Paso 7

Resta $2.9$ de $3$ .

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

Paso 8

Eleva $0.1$ a la potencia de $2$ .

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

Paso 9

Resta $2.9$ de $3$ .

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

Paso 10

Eleva $0.1$ a la potencia de $2$ .

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

Paso 11

Resta $2.9$ de $3$ .

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

Paso 12

Eleva $0.1$ a la potencia de $2$ .

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

Paso 13

Resta $2.9$ de $3$ .

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

Paso 14

Eleva $0.1$ a la potencia de $2$ .

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

Paso 15

Resta $2.9$ de $4$ .

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

Paso 16

Eleva $1.1$ a la potencia de $2$ .

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

Paso 17

Resta $2.9$ de $4$ .

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

Paso 18

Eleva $1.1$ a la potencia de $2$ .

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

Paso 19

Resta $2.9$ de $5$ .

$\sqrt{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + {2.1}^{2}}$

Paso 20

Eleva $2.1$ a la potencia de $2$ .

$\sqrt{3.61 + 3.61 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}$

Paso 21

Suma $3.61$ y $3.61$ .

$\sqrt{7.22 + 0.81 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}$

Paso 22

Suma $7.22$ y $0.81$ .

$\sqrt{8.03 + 0.01 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}$

Paso 23

Suma $8.03$ y $0.01$ .

$\sqrt{8.04 + 0.01 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}$

Paso 24

Suma $8.04$ y $0.01$ .

$\sqrt{8.05 + 0.01 + 0.01 + 1.21 + 1.21 + 4.41}$

Paso 25

Suma $8.05$ y $0.01$ .

$\sqrt{8.06 + 0.01 + 1.21 + 1.21 + 4.41}$

Paso 26

Suma $8.06$ y $0.01$ .

$\sqrt{8.07 + 1.21 + 1.21 + 4.41}$

Paso 27

Suma $8.07$ y $1.21$ .

$\sqrt{9.28 + 1.21 + 4.41}$

Paso 28

Suma $9.28$ y $1.21$ .

$\sqrt{10.49 + 4.41}$

Paso 29

Suma $10.49$ y $4.41$ .

$\sqrt{14.9}$

Paso 30

El resultado puede mostrarse de distintas formas.

Forma exacta:

$\sqrt{14.9}$

Forma decimal:

$3.86005181 \dots$