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√( 2 ) \: \: units`