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

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

Step 1

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

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

Step 2

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

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

Step 3

Simplify.

Subtract $1$ from $0$ .

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

Raise $- 1$ to the power of $2$ .

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

Subtract $0$ from $2$ .

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

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

$\sqrt{1 + 4}$

Add $1$ and $4$ .

$\sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\sqrt{5}$

Decimal Form:

$2.23606797 \dots$

Step 5