Matematika

Pertanyaan

Bantu jawab ya kak........
Bantu jawab ya kak........

1 Jawaban

  • Dik :
    [tex]m = 3 \sqrt{5} + 7 \sqrt{32} \\ n = 4 \sqrt{18} \; - \; 2 \sqrt{125}[/tex]

    Maka nilai m + n adalah 
    [tex]= m + n \\ \\ = 3 \sqrt{5} \; + \; 7 \sqrt{32} \; + \; 4 \sqrt{18} \; - \; 2 \sqrt{125} \\ \\ = 3 \sqrt{5} \; + \; 7 \sqrt{16 \times 2} \; + \; 4 \sqrt{9 \times 2} \; - \; 2\sqrt{25 \times 5} \\ \\ = 3 \sqrt{5} \; + \; 7(4) \sqrt{2} \; + \; 4(3) \sqrt{2} \; - \; 2(5)\sqrt{5} \\ \\ = 3 \sqrt{5} \; + \; 28 \sqrt{2} \; + \; 12 \sqrt{2} \; - \; 10\sqrt{5} \\ \\ = 28 \sqrt{2} \; + \; 12 \sqrt{2} \; - \; 10\sqrt{5}\; + 3 \sqrt{5} \; \\ \\ = 40 \sqrt{2} \; - \; 7\sqrt{5} [/tex]



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