Basic Math Examples

$\frac{{(2.14 - 2.918)}^{2} + {(- 1.37 - 2.918)}^{2} + {(3.77 - 2.918)}^{2} + {(6.47 - 2.918)}^{2} + {(3.58 - 2.918)}^{2}}{5 - 1}$

Step 1

Simplify the numerator.

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Step 1.1

Subtract $2.918$ from $2.14$ .

$\frac{{(- 0.778)}^{2} + {(- 1.37 - 2.918)}^{2} + {(3.77 - 2.918)}^{2} + {(6.47 - 2.918)}^{2} + {(3.58 - 2.918)}^{2}}{5 - 1}$

Step 1.2

Raise $- 0.778$ to the power of $2$ .

$\frac{0.605284 + {(- 1.37 - 2.918)}^{2} + {(3.77 - 2.918)}^{2} + {(6.47 - 2.918)}^{2} + {(3.58 - 2.918)}^{2}}{5 - 1}$

Step 1.3

Subtract $2.918$ from $- 1.37$ .

$\frac{0.605284 + {(- 4.288)}^{2} + {(3.77 - 2.918)}^{2} + {(6.47 - 2.918)}^{2} + {(3.58 - 2.918)}^{2}}{5 - 1}$

Step 1.4

Raise $- 4.288$ to the power of $2$ .

$\frac{0.605284 + 18.386944 + {(3.77 - 2.918)}^{2} + {(6.47 - 2.918)}^{2} + {(3.58 - 2.918)}^{2}}{5 - 1}$

Step 1.5

Subtract $2.918$ from $3.77$ .

$\frac{0.605284 + 18.386944 + {0.852}^{2} + {(6.47 - 2.918)}^{2} + {(3.58 - 2.918)}^{2}}{5 - 1}$

Step 1.6

Raise $0.852$ to the power of $2$ .

$\frac{0.605284 + 18.386944 + 0.725904 + {(6.47 - 2.918)}^{2} + {(3.58 - 2.918)}^{2}}{5 - 1}$

Step 1.7

Subtract $2.918$ from $6.47$ .

$\frac{0.605284 + 18.386944 + 0.725904 + {3.552}^{2} + {(3.58 - 2.918)}^{2}}{5 - 1}$

Step 1.8

Raise $3.552$ to the power of $2$ .

$\frac{0.605284 + 18.386944 + 0.725904 + 12.616704 + {(3.58 - 2.918)}^{2}}{5 - 1}$

Step 1.9

Subtract $2.918$ from $3.58$ .

$\frac{0.605284 + 18.386944 + 0.725904 + 12.616704 + {0.662}^{2}}{5 - 1}$

Step 1.10

Raise $0.662$ to the power of $2$ .

$\frac{0.605284 + 18.386944 + 0.725904 + 12.616704 + 0.438244}{5 - 1}$

Step 1.11

Add $0.605284$ and $18.386944$ .

$\frac{18.992228 + 0.725904 + 12.616704 + 0.438244}{5 - 1}$

Step 1.12

Add $18.992228$ and $0.725904$ .

$\frac{19.718132 + 12.616704 + 0.438244}{5 - 1}$

Step 1.13

Add $19.718132$ and $12.616704$ .

$\frac{32.334836 + 0.438244}{5 - 1}$

Step 1.14

Add $32.334836$ and $0.438244$ .

$\frac{32.77308}{5 - 1}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $1$ from $5$ .

$\frac{32.77308}{4}$

Step 2.2

Divide $32.77308$ by $4$ .

$8.19327$