Find the Distance Between Two Points (5,3) and (3,6)

$(5, 3)$ and $(3, 6)$

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

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

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

$\sqrt{{(3 - 5)}^{2} + {(6 - 3)}^{2}}$

Simplify.

Subtract $5$ from $3$ .

$\sqrt{{(- 2)}^{2} + {(6 - 3)}^{2}}$

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

$\sqrt{4 + {(6 - 3)}^{2}}$

Subtract $3$ from $6$ .

$\sqrt{4 + 3^{2}}$

Raise $3$ to the power of $2$ .

$\sqrt{4 + 9}$

Add $4$ and $9$ .

$\sqrt{13}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{13}$

Decimal Form:

$3.60555127 \dots$