Matematika

Pertanyaan

Sederhanakanlah
1. √3(3+√12 =..
2.(√2+√3) (√2+√3) =..
3. (√3+√2) (√3-√2) =..
4. √18 : √12 =..

Tolong dibantu..
Dan dijelaskan

2 Jawaban

  • 1. /3(3+/12) =/3(3+/4×3)
    = /3(3+2/3)
    =3/3+2/9
    = 3/3+ 2×3
    = 6+3/3
    2. (/2+/3)(/2+/3) = 2+/6+/6+3
    = 5+2/6
    3. (/3+/2)(/3-/2) = 3-/6+/6-2
    = 1
    4. /18 : / 12 = /2×9 : /3×4
    = 3/2 : 2/3
  • [tex]1.) \sqrt{3} (3 + \sqrt{12} ) \\ \sqrt{3} (3 + 2\sqrt{3} ) \\ 3 \sqrt{3} + 6 \\ 2.)( \sqrt{2} + \sqrt{3} )( \sqrt{2} + \sqrt{3} ) \\ (\sqrt{2} + \sqrt{3} )^{2} \\ 2 + 2 \sqrt{6} + 3 \\ 5 + 2 \sqrt{6} \\ 3.)( \sqrt{3} + \sqrt{2} )( \sqrt{3} - \sqrt{2} ) \\ 3 - 2 \\ 1 \\ 4.) \sqrt{18} \div \sqrt{12} \\ \sqrt{1.5} \\ \sqrt{ \frac{15}{10} } \\ \sqrt{ \frac{3}{2} } \\ \frac{ \sqrt{3} }{ \sqrt{2} } \\ \frac{ \sqrt{6} }{2} [/tex]
    Maaf ya kalo salah:)
    Semoga membantu

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