Find Distance Between Two Points

Question

If we are to find the distance between the points $P(0,0)$ and $Q(-2,-3)$, then we can use the Theorem of Pythagoras for this purpose.

$distance (P,Q) = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

therefore, $\text{distance} (P,Q) = \sqrt{-5}$ But the answer is undefined. Is this answer and the reason correct?

Answer 1

You forgot to square. $d(P,Q) = \sqrt{(-2)^2+(-3)^2} = \sqrt{4+9} = \sqrt{13}$.

Answer 2

You are calculating wrong:

$distance(P,Q) = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}=\sqrt{((-2)^2+(-3)^2)}=\sqrt{(13)}$.