Find the Distance Between Two Points (r,s) , (0,0)

$(r, s)$ , $(0, 0)$

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.

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

Step 3

Simplify.

Subtract $r$ from $0$ .

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

Apply the product rule to $- r$ .

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

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

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

Multiply $r^{2}$ by $1$ .

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

Subtract $s$ from $0$ .

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

Apply the product rule to $- s$ .

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

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

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

Multiply $s^{2}$ by $1$ .

$\sqrt{r^{2} + s^{2}}$