Finite Math Examples

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

Step 1

Subtract $6.2$ from $2$ .

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

Step 2

Raise $- 4.2$ to the power of $2$ .

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

Step 3

Multiply $17.64$ by $6$ .

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

Step 4

Subtract $6.2$ from $5$ .

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

Step 5

Raise $- 1.2$ to the power of $2$ .

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

Step 6

Multiply $1.44$ by $5$ .

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

Step 7

Subtract $6.2$ from $8$ .

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

Step 8

Raise $1.8$ to the power of $2$ .

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

Step 9

Multiply $3.24$ by $4$ .

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

Step 10

Subtract $6.2$ from $11$ .

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

Step 11

Raise $4.8$ to the power of $2$ .

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

Step 12

Multiply $23.04$ by $5$ .

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

Step 13

Add $105.84$ and $7.2$ .

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

Step 14

Add $113.04$ and $12.96$ .

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

Step 15

Add $126$ and $115.2$ .

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

Step 16

Subtract $1$ from $20$ .

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

Step 17

Divide $241.2$ by $19$ .

$s = \sqrt{12.69473684}$

Step 18

The result can be shown in multiple forms.

Exact Form:

$s = \sqrt{12.69473684}$

Decimal Form:

$s = 3.56296742 \dots$