Find the Distance Between Two Points (8,3) , (10,4)

$(8, 3)$ , $(10, 4)$

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.

$\sqrt{{(10 - 8)}^{2} + {(4 - 3)}^{2}}$

Simplify.

Subtract $8$ from $10$ .

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

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

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

Subtract $3$ from $4$ .

$\sqrt{4 + 1^{2}}$

One to any power is one.

$\sqrt{4 + 1}$

Add $4$ and $1$ .

$\sqrt{5}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$