Akar5 + akar6 / akar5 – akar6 adalah..

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A. -11 – 2akar11
B. -11 + 2akar11
C. -11 – 2akar30
D. -11 + 2akar30
E. -11 + 4akar30

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Akar5 + akar6 / akar5 – akar6 adalah..

Jawaban:

Rasionalkan :

= frac{ sqrt{5} + sqrt{6} }{ sqrt{5} - sqrt{6} } . frac{ sqrt{5} + sqrt{6} }{ sqrt{5} + sqrt{6} } \ = frac{ sqrt{5} ( sqrt{5} + sqrt{6}) + sqrt{6} ( sqrt{5} + sqrt{6} )}{ sqrt{5} ( sqrt{5} + sqrt{6} ) - sqrt{6} ( sqrt{5} + sqrt{6}) } \ = frac{ sqrt{25} + sqrt{30} + sqrt{30} + sqrt{36} }{ sqrt{25} + sqrt{30} - sqrt{30} - sqrt{36} } \ = frac{5 + 2 sqrt{30} + 6 }{5 - 6} \ = frac{11 + 2 sqrt{30} }{ - 1} \ = - 11 - 2 sqrt{30}

Jawaban (C). -11 – 2√30