Matematika

Pertanyaan

rasionalkan penyebut pecahan pecahan berikut
jawab dengan cara nya
bagian a,b,c,d,e,f,g,h
rasionalkan penyebut pecahan pecahan berikut jawab dengan cara nya bagian a,b,c,d,e,f,g,h

2 Jawaban

  • b. 15/√7=15/√7.√7/√7
    15√7/7
    15/7√7
  • A)
    [tex] = \frac{3}{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ = \frac{3}{5} \sqrt{5} [/tex]

    B)
    [tex] = \frac{15}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } \\ = \frac{15}{7} \sqrt{7} [/tex]

    C).
    [tex] = \frac{2 \sqrt{2} }{6 \sqrt{6} } \\ = \frac{ \sqrt{2} }{3 \sqrt{6} } \times \frac{3 \sqrt{6} }{3 \sqrt{6} } \\ = \frac{6 \sqrt{3} }{54} \\ = \frac{1}{9} \sqrt{3} [/tex]


    D)
    [tex] = \frac{6 \sqrt{100} }{1 + \sqrt{32} } \\ = \frac{60}{1 + 4 \sqrt{2} } \times \frac{1 - 4 \sqrt{2} }{1 - 4 \sqrt{2} } \\ = \frac{60 - 240 \sqrt{2} }{1 - 32} \\ = \frac{240}{31} \sqrt{2} - \frac{60}{31} [/tex]

    E)
    [tex] = \frac{10}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{50 + 10 \sqrt{2} }{25 - 2} \\ =2 \frac{4}{23} - \frac{10}{23} \sqrt{2} [/tex]