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 Jika fraction numerator square root of 2 minus square root of 3 over denominator square root of 2 plus square root of 3 end fraction equals a plus b square root of 6 comma space a space d a n space b space a d a l a h space b i l a n g a n space b u l a t comma space m a k a space a plus b equals...

  1. -5

  2. -3

  3. -2

  4. -1

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

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Pembahasan

fraction numerator square root of 2 minus square root of 3 over denominator square root of 2 plus square root of 3 end fraction  equals fraction numerator square root of 2 minus square root of 3 over denominator square root of 2 plus square root of 3 end fraction cross times fraction numerator square root of 2 minus square root of 3 over denominator square root of 2 minus square root of 3 end fraction  equals fraction numerator left parenthesis square root of 2 minus square root of 3 right parenthesis squared over denominator left parenthesis square root of 2 right parenthesis squared minus left parenthesis square root of 3 right parenthesis squared end root end fraction  equals fraction numerator 2 minus 2 square root of 6 plus 3 over denominator 2 minus 3 end fraction equals fraction numerator 5 minus 2 square root of 6 over denominator negative 1 end fraction  a plus b square root of 6 equals negative 5 plus 2 square root of 6

Dengan keidentikan, maka diperoleh nilai a = -5 dan b = 2, sehingga a+ b = (-5) + 2 = -3

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