Matematika

Pertanyaan

please tolong bantu nomor 13 - 17
please tolong bantu nomor 13 - 17

1 Jawaban

  • 13) √7
    ------------
    2√3

    = ( √7 )( 2√3 )
    ----------------------
    ( 2√3 )( 2√3 )

    = 2√21
    ------------
    12

    = ¹/6 ( √21 )


    14) 5√6
    --------------
    √7

    = ( 5√6 )( √7 )
    ---------------------
    ( √7 )( √7 )

    = 5√42
    -------------
    7

    = 5/7 ( √42)

    15) ( 3√3 + √7 )
    ------------------------
    √7 - 2√3

    = ( 3√3 + √7 )( √7 + 2√3)
    --------------------------------------
    ( √7 - 2√3 )( √7 + 2√3 )

    = 3√21 + 7 + 18 + 2√21
    ------------------------------------
    7 - 2√21 + 2√21 - 12

    = 25 + 5√21
    -------------------
    - 5

    = 5 ( 5 + √21 )
    ----------------------
    - 5

    = - ( 5 + √21 )

    = - 5 - √21

    16) ( √3 - 2)( √3 + 2 )
    -------------------------------
    √5 - √6

    = 3 - 2√3 + 2√3 - 4
    ------------------------------
    √5 - √6

    = - 1 ( √5 + √6)
    -------------------------
    ( √5 - √6)( √5 + √6 )

    = - 1 ( √5 + √6 )
    -----------------------
    5 - √30 + √30 - 6

    = - 1 ( √5 + √6)
    -----------------------
    - 1

    = √5 + √6

    17) ( √12 - √27 )( √18 + √8)

    = ( 2√3 - 3√3)( 3√2 + 2√2)

    = ( - √3 )( 5√2)

    = - 5√6