Matematika

Pertanyaan

1. 5 + √3 ÷ 5 - √3 =
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1 Jawaban

  • [tex] \frac{5+ \sqrt{3} }{5- \sqrt{3} } . \frac{5+ \sqrt{3} }{5+ \sqrt{3} } = \frac{ (5+ \sqrt{3})^{2} }{25- 3 } = \frac{ (5+ \sqrt{3})^{2} }{22 } = \frac{ 25+5 \sqrt{3}+ 5 \sqrt{3}+3 }{22 } = \frac{ 28+10 \sqrt{3} }{22 } = \frac{ 28+10 \sqrt{3} }{22 } [/tex]

    [tex]= \frac{2(14+5 \sqrt{3}) }{2(11)} = \frac{1}{11} (14+5 \sqrt{3} )[/tex]

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