Finite Math Examples

$\sqrt{\frac{{(1 - 3.1)}^{2} + {(2 - 3.1)}^{2} + {(4 - 3.1)}^{2} + {(5 - 3.1)}^{2}}{10 - 1}}$

Step 1

Subtract $3.1$ from $1$ .

$\sqrt{\frac{{(- 2.1)}^{2} + {(2 - 3.1)}^{2} + {(4 - 3.1)}^{2} + {(5 - 3.1)}^{2}}{10 - 1}}$

Step 2

Raise $- 2.1$ to the power of $2$ .

$\sqrt{\frac{4.41 + {(2 - 3.1)}^{2} + {(4 - 3.1)}^{2} + {(5 - 3.1)}^{2}}{10 - 1}}$

Step 3

Subtract $3.1$ from $2$ .

$\sqrt{\frac{4.41 + {(- 1.1)}^{2} + {(4 - 3.1)}^{2} + {(5 - 3.1)}^{2}}{10 - 1}}$

Step 4

Raise $- 1.1$ to the power of $2$ .

$\sqrt{\frac{4.41 + 1.21 + {(4 - 3.1)}^{2} + {(5 - 3.1)}^{2}}{10 - 1}}$

Step 5

Subtract $3.1$ from $4$ .

$\sqrt{\frac{4.41 + 1.21 + {0.9}^{2} + {(5 - 3.1)}^{2}}{10 - 1}}$

Step 6

Raise $0.9$ to the power of $2$ .

$\sqrt{\frac{4.41 + 1.21 + 0.81 + {(5 - 3.1)}^{2}}{10 - 1}}$

Step 7

Subtract $3.1$ from $5$ .

$\sqrt{\frac{4.41 + 1.21 + 0.81 + {1.9}^{2}}{10 - 1}}$

Step 8

Raise $1.9$ to the power of $2$ .

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

Step 9

Add $4.41$ and $1.21$ .

$\sqrt{\frac{5.62 + 0.81 + 3.61}{10 - 1}}$

Step 10

Add $5.62$ and $0.81$ .

$\sqrt{\frac{6.43 + 3.61}{10 - 1}}$

Step 11

Add $6.43$ and $3.61$ .

$\sqrt{\frac{10.04}{10 - 1}}$

Step 12

Subtract $1$ from $10$ .

$\sqrt{\frac{10.04}{9}}$

Step 13

Divide $10.04$ by $9$ .

$\sqrt{1.11\overline{5}}$

Step 14

The result can be shown in multiple forms.

Exact Form:

$\sqrt{1.11\overline{5}}$

Decimal Form:

$1.05619863 \dots$