Math
posted by Lindsay .
In class we started operation with radicals
how would you answer a question like this
determine the length of the line segment from A(2,7), to B (4,1)?

sqrt [ ( x 2  x 1 ) ^ 2 + ( y 2  y 1 ) ^ 2 ]
L = sqrt [ ( 4  (  2 ) ) ^ 2 + ( 1  7 ) ^ 2 ]
L = sqrt [ ( 4 + 2 ) ^ 2 + ( 1  7 ) ^ 2 ]
L = sqrt [ 6 ^ 2 + (  6) ^ 2 ]
L = sqrt ( 36 + 36 )
L = sqrt ( 72 )
L = sqrt ( 4 * 9 * 2 )
( Remark : sqrt ( 4 ) = 2 ; sqrt ( 9 ) = 3 )
L = 2 * 3 * sqrt ( 2 )
L = 6 sqrt ( 2 )