Matematika

Pertanyaan

sederhanakan lah pecahan berikut dengan merasionalkan penyebut kecuali F
sederhanakan lah pecahan  berikut dengan merasionalkan penyebut  kecuali F

1 Jawaban

  • 1.
    [tex] = \frac{1}{ \sqrt{3} } \\ = \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } \\ = \frac{1}{3} \sqrt{3} [/tex]
    2.
    [tex] = \frac{3 \sqrt{2} }{ \sqrt{5} } \\ = \frac{3 \sqrt{2} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ = \frac{3}{5} \sqrt{10} [/tex]
    3.
    [tex] = \frac{5}{3 - \sqrt{3} } \\ = \frac{5}{3 - \sqrt{3} } \times \frac{3 - \sqrt{3} }{3 - \sqrt{3} } \\ = \frac{15 - 5 \sqrt{3} }{9 - 3} \\ = \frac{15 - 5 \sqrt{3} }{6} [/tex]
    4.
    [tex] = \frac{ \sqrt{3} }{5 + \sqrt{7} } \\ = \frac{ \sqrt{3} }{5 + \sqrt{7} } \times \frac{5 + \sqrt{7} }{5 + \sqrt{7} } \\ = \frac{5 \sqrt{3} + \sqrt{21} }{25 + 7} \\ = \frac{5 \sqrt{3} + \sqrt{21} }{28} [/tex]
    5.
    [tex] = \frac{4 \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ = \frac{4 \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \times \frac{ \sqrt{5} - \sqrt{3} }{ \sqrt{5} - \sqrt{3} } \\ = \frac{4 \sqrt{15} - 12}{5 - 3} \\ = \frac{4 \sqrt{5} - 12}{2} [/tex]