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}

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

Step 1

Simplify the numerator.

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Step 1.1

Subtract

2.918

$2.918$ from

2.14

$2.14$ .

\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}

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

Step 1.2

Raise

- 0.778

$- 0.778$ to the power of

2

$2$ .

\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}

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

Step 1.3

Subtract

2.918

$2.918$ from

- 1.37

$- 1.37$ .

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

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

Step 1.4

Raise

- 4.288

$- 4.288$ to the power of

2

$2$ .

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

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

Step 1.5

Subtract

2.918

$2.918$ from

3.77

$3.77$ .

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

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

Step 1.6

Raise

0.852

$0.852$ to the power of

2

$2$ .

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

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

Step 1.7

Subtract

2.918

$2.918$ from

6.47

$6.47$ .

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

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

Step 1.8

Raise

3.552

$3.552$ to the power of

2

$2$ .

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

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

Step 1.9

Subtract

2.918

$2.918$ from

3.58

$3.58$ .

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

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

Step 1.10

Raise

0.662

$0.662$ to the power of

2

$2$ .

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

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

Step 1.11

Add

0.605284

$0.605284$ and

18.386944

$18.386944$ .

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

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

Step 1.12

Add

18.992228

$18.992228$ and

0.725904

$0.725904$ .

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

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

Step 1.13

Add

19.718132

$19.718132$ and

12.616704

$12.616704$ .

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

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

Step 1.14

Add

32.334836

$32.334836$ and

0.438244

$0.438244$ .

\frac{32.77308}{5 - 1}

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

\frac{32.77308}{5 - 1}

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

Step 2

Simplify the expression.

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Step 2.1

Subtract

1

$1$ from

5

$5$ .

\frac{32.77308}{4}

$\frac{32.77308}{4}$

Step 2.2

Divide

32.77308

$32.77308$ by

4

$4$ .

8.19327

$8.19327$

8.19327

$8.19327$