Basic Math Examples

(0.8, - 0.5)

$(0.8, - 0.5)$ ,

(1.3, 1.8)

$(1.3, 1.8)$

Step 1

Use the distance formula to determine the distance between the two points.

Distance = \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}

$Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

Step 2

Substitute the actual values of the points into the distance formula.

\sqrt{{(1.3 - 0.8)}^{2} + {(1.8 - (- 0.5))}^{2}}

$\sqrt{{(1.3 - 0.8)}^{2} + {(1.8 - (- 0.5))}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract

0.8

$0.8$ from

1.3

$1.3$ .

\sqrt{{0.5}^{2} + {(1.8 - (- 0.5))}^{2}}

$\sqrt{{0.5}^{2} + {(1.8 - (- 0.5))}^{2}}$

Step 3.2

Raise

0.5

$0.5$ to the power of

2

$2$ .

\sqrt{0.25 + {(1.8 - (- 0.5))}^{2}}

$\sqrt{0.25 + {(1.8 - (- 0.5))}^{2}}$

Step 3.3

Multiply

- 1

$- 1$ by

- 0.5

$- 0.5$ .

\sqrt{0.25 + {(1.8 + 0.5)}^{2}}

$\sqrt{0.25 + {(1.8 + 0.5)}^{2}}$

Step 3.4

Add

1.8

$1.8$ and

0.5

$0.5$ .

\sqrt{0.25 + {2.3}^{2}}

$\sqrt{0.25 + {2.3}^{2}}$

Step 3.5

Raise

2.3

$2.3$ to the power of

2

$2$ .

\sqrt{0.25 + 5.29}

$\sqrt{0.25 + 5.29}$

Step 3.6

Add

0.25

$0.25$ and

5.29

$5.29$ .

\sqrt{5.54}

$\sqrt{5.54}$

\sqrt{5.54}

$\sqrt{5.54}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\sqrt{5.54}

$\sqrt{5.54}$

Decimal Form:

2.35372045 \dots

$2.35372045 \dots$

Step 5