Find the Distance Between Two Points (0,0) , (1,2)

$(0, 0)$ , $(1, 2)$

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.

$\sqrt{{(1 - 0)}^{2} + {(2 - 0)}^{2}}$

Simplify.

Subtract $0$ from $1$ .

$\sqrt{1^{2} + {(2 - 0)}^{2}}$

One to any power is one.

$\sqrt{1 + {(2 - 0)}^{2}}$

Subtract $0$ from $2$ .

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

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

$\sqrt{1 + 4}$

Add $1$ and $4$ .

$\sqrt{5}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$