Question

What is the length of a line segment with endpoints 3, 2, and -3, -4, in
the simplest radical form

Answer 1

$\qquad \qquad \qquad\large\overbrace{\underbrace{\underline{ \boxed{ \sf \:Answer }}}}$

Let's use distance formula :

$\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4) {}^{2} }$

$\qquad \sf  \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4)) {}^{2} }$

$\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2} + {6}^{2} }$

$\qquad \sf  \dashrightarrow \: \sqrt{ {6}^{2}(1 + 1) }$

$\qquad \sf  \dashrightarrow \: 6\sqrt{ 2 } \: \: units$