Matematika

Pertanyaan

Rasionalkan bentuk akar berikut :
a. 5 / √a-2√b
b. 3-√2 / 3+√2

1 Jawaban

  •            5            √a + 2√b             5 (√a + 2√b)
    a)  -----------  x  ------------  =  -----------------------------
          √a - 2√b      √a + 2√b       √a (√a )  -  2√b (2√b)

                                                         5 ( √a  +  2√b )
                                              =   ----------------------------
                                                            a  -  4b


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

                                               9  -  6√2  + 2
                                         =  --------------------
                                                  9  -  2

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

                                          =  11/7  - 6/7 √2

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