Matematika

Pertanyaan

bentuk 9/2√2-√5 dapat disederhanakan menjadi

2 Jawaban


  • [tex] = \frac{9}{2 \sqrt{2} - \sqrt{5} } \times \frac{2 \sqrt{2} + \sqrt{5} }{2 \sqrt{2} + \sqrt{5} } \\ = \frac{18 \sqrt{2} + 9 \sqrt{5} }{8 - 5} \\ = \frac{18 \sqrt{2} + 9 \sqrt{5} }{3} \\ = 6 \sqrt{2} + 3 \sqrt{5} [/tex]

    Semoga membantu ✔
  •        9               2√2 +√5               9(2√2 + √5)
    ------------  x   ---------------     =    -------------------
    2√2 - √5           2√2 + √5                  8 - 5
     
                                                        9(2√2 + √5)
                                                = ----------------------
                                                               3

                                                =       3(2√2 + √5)
                                                =       6√2 + 3√5
    Semoga membantu
              
                                      

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