Matemática discreta Ejemplos

$s = \sqrt{\frac{{(2 - 6.2)}^{2} \cdot 6 + {(5 - 6.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 1

Resta $6.2$ de $2$ .

$s = \sqrt{\frac{{(- 4.2)}^{2} \cdot 6 + {(5 - 6.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 2

Eleva $- 4.2$ a la potencia de $2$ .

$s = \sqrt{\frac{17.64 \cdot 6 + {(5 - 6.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 3

Multiplica $17.64$ por $6$ .

$s = \sqrt{\frac{105.84 + {(5 - 6.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 4

Resta $6.2$ de $5$ .

$s = \sqrt{\frac{105.84 + {(- 1.2)}^{2} \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 5

Eleva $- 1.2$ a la potencia de $2$ .

$s = \sqrt{\frac{105.84 + 1.44 \cdot 5 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 6

Multiplica $1.44$ por $5$ .

$s = \sqrt{\frac{105.84 + 7.2 + {(8 - 6.2)}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 7

Resta $6.2$ de $8$ .

$s = \sqrt{\frac{105.84 + 7.2 + {1.8}^{2} \cdot 4 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 8

Eleva $1.8$ a la potencia de $2$ .

$s = \sqrt{\frac{105.84 + 7.2 + 3.24 \cdot 4 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 9

Multiplica $3.24$ por $4$ .

$s = \sqrt{\frac{105.84 + 7.2 + 12.96 + {(11 - 6.2)}^{2} \cdot 5}{20 - 1}}$

Paso 10

Resta $6.2$ de $11$ .

$s = \sqrt{\frac{105.84 + 7.2 + 12.96 + {4.8}^{2} \cdot 5}{20 - 1}}$

Paso 11

Eleva $4.8$ a la potencia de $2$ .

$s = \sqrt{\frac{105.84 + 7.2 + 12.96 + 23.04 \cdot 5}{20 - 1}}$

Paso 12

Multiplica $23.04$ por $5$ .

$s = \sqrt{\frac{105.84 + 7.2 + 12.96 + 115.2}{20 - 1}}$

Paso 13

Suma $105.84$ y $7.2$ .

$s = \sqrt{\frac{113.04 + 12.96 + 115.2}{20 - 1}}$

Paso 14

Suma $113.04$ y $12.96$ .

$s = \sqrt{\frac{126 + 115.2}{20 - 1}}$

Paso 15

Suma $126$ y $115.2$ .

$s = \sqrt{\frac{241.2}{20 - 1}}$

Paso 16

Resta $1$ de $20$ .

$s = \sqrt{\frac{241.2}{19}}$

Paso 17

Divide $241.2$ por $19$ .

$s = \sqrt{12.69473684}$

Paso 18

El resultado puede mostrarse de distintas formas.

Forma exacta:

$s = \sqrt{12.69473684}$

Forma decimal:

$s = 3.56296742 \dots$