Matematika

Pertanyaan

Nomor 10 11 dan 12
Tolong batuan nya ya
Nomor 10 11 dan 12 Tolong batuan nya ya

1 Jawaban

  • 10.
    [tex] \frac{18}{2 \sqrt{3} - \sqrt{6} } \times \frac{{2 \sqrt{3} + \sqrt{6} }}{{2 \sqrt{3} + \sqrt{6} }} \\ = \frac{36 \sqrt{3} + 18 \sqrt{6} }{12 - 6} \\ [/tex]
    [tex] = \frac{36 \sqrt{3} +18 \sqrt{6} }{6} \\ = 6 \sqrt{3} + 3\sqrt{6} [/tex]
    11.
    [tex] \frac{ \sqrt{72} + \sqrt{48} - \sqrt{50} }{ \sqrt{6} } \\ = \frac{ 6\sqrt{2} + 4 \sqrt{3} - 5 \sqrt{2} }{ \sqrt{6} } \\ = \frac{ \sqrt{2} + 4 \sqrt{3} }{ \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } \\ = \frac{ \sqrt{12} + 4 \sqrt{18} }{6} \\ = \frac{2 \sqrt{3} + 12 \sqrt{2} }{6} \\ = \frac{ \sqrt{3} + 6 \sqrt{2} }{3} [/tex]
    12. ✓125 = ✓(5³) = 5^3/2 ( ^ adalah tanda pangkat atau 5 pangkat 3/2)