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

$(2, 2)$ , $(2, 2)$

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.

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

Step 3

Simplify.

Subtract $2$ from $2$ .

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

Raising $0$ to any positive power yields $0$ .

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

Subtract $2$ from $2$ .

$\sqrt{0 + 0^{2}}$

Raising $0$ to any positive power yields $0$ .

$\sqrt{0 + 0}$

Add $0$ and $0$ .

$\sqrt{0}$

Rewrite $0$ as $0^{2}$ .

$\sqrt{0^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$0$

Step 4