Math

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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)?

  • Math -

    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 )

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