Matematika

Pertanyaan

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1 Jawaban

  • 4a) 1
    -------------
    2 + √3

    = 1 ( 2 - √3 )
    -------------------
    ( 2 + √3 )( 2 - √3 )

    = 1 ( 2 - √3 )
    ----------------------
    4 + 2√3 - 2√3 - 3

    = 1 ( 2 - √3 )
    ------------------
    1

    = 2 - √3

    b) 3 - √2
    ----------------
    3 + √2

    = ( 3 - √2 )( 3 - √2 )
    -----------------------------
    ( 3 + √2 )( 3 - √2)

    = 9 - 3√2 - 3√2 + 2
    -----------------------------
    9 + 3√2 - 3√2 - 2

    = 11 - 6√2
    ---------------
    7