Basic Math Examples

(4, 3)

$(4, 3)$ ,

(9, 5)

$(9, 5)$

Step 1

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

Distance = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{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{{(9 - 4)}^{2} + {(5 - 3)}^{2}}

$\sqrt{{(9 - 4)}^{2} + {(5 - 3)}^{2}}$

Step 3

Simplify.

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Step 3.1

Subtract

4

$4$ from

9

$9$ .

\sqrt{5^{2} + {(5 - 3)}^{2}}

$\sqrt{5^{2} + {(5 - 3)}^{2}}$

Step 3.2

Raise

5

$5$ to the power of

2

$2$ .

\sqrt{25 + {(5 - 3)}^{2}}

$\sqrt{25 + {(5 - 3)}^{2}}$

Step 3.3

Subtract

3

$3$ from

5

$5$ .

\sqrt{25 + 2^{2}}

$\sqrt{25 + 2^{2}}$

Step 3.4

Raise

2

$2$ to the power of

2

$2$ .

\sqrt{25 + 4}

$\sqrt{25 + 4}$

Step 3.5

Add

25

$25$ and

4

$4$ .

\sqrt{29}

$\sqrt{29}$

\sqrt{29}

$\sqrt{29}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\sqrt{29}

$\sqrt{29}$

Decimal Form:

5.38516480 \dots

$5.38516480 \dots$

Step 5