Find the Distance Between Two Points (m,n) , (0,0)

$(m, n)$ , $(0, 0)$

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.

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

Step 3

Simplify.

Subtract $m$ from $0$ .

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

Apply the product rule to $- m$ .

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

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

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

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

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

Subtract $n$ from $0$ .

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

Apply the product rule to $- n$ .

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

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

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

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

$\sqrt{m^{2} + n^{2}}$