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Hasil dari 18​+12​1+3​​+6​−3224​−8​​ adalah ....

Pertanyaan

Hasil dari begin mathsize 14px style fraction numerator 1 plus square root of 3 over denominator square root of 18 plus square root of 12 end fraction plus fraction numerator 2 square root of 24 minus square root of 8 over denominator square root of 6 minus 3 end fraction end style adalah ....

  1. begin mathsize 14px style fraction numerator 15 square root of 2 minus 2 square root of 3 plus 7 square root of 6 minus 54 over denominator 6 end fraction end style 

  2. begin mathsize 14px style fraction numerator 6 square root of 2 minus 4 square root of 3 minus 14 square root of 6 minus 54 over denominator 3 end fraction end style 

  3. begin mathsize 14px style fraction numerator 5 square root of 2 plus 2 square root of 3 minus 7 square root of 6 minus 27 over denominator 3 end fraction end style 

  4. begin mathsize 14px style fraction numerator 5 square root of 2 plus 2 square root of 3 minus 7 square root of 6 minus 27 over denominator 2 end fraction end style 

R. Azizatul

Master Teacher

Mahasiswa/Alumni Universitas Negeri Yogyakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Perhatikan bahwa

begin mathsize 12px style fraction numerator 1 plus square root of 3 over denominator square root of 18 plus square root of 12 end fraction plus fraction numerator 2 square root of 24 minus square root of 8 over denominator square root of 6 minus 3 end fraction equals fraction numerator 1 plus square root of 3 over denominator square root of 9 times 2 end root plus square root of 4 times 3 end root end fraction plus fraction numerator 2 square root of 4 times 6 end root minus square root of 4 times 2 end root over denominator square root of 6 minus 3 end fraction equals fraction numerator 1 plus square root of 3 over denominator 3 square root of 2 plus 2 square root of 3 end fraction plus fraction numerator 4 square root of 6 minus 2 square root of 2 over denominator square root of 6 minus 3 end fraction equals fraction numerator open parentheses 1 plus square root of 3 close parentheses open parentheses 3 square root of 2 minus 2 square root of 3 close parentheses over denominator open parentheses 3 square root of 2 close parentheses squared minus open parentheses 2 square root of 3 close parentheses squared end fraction plus fraction numerator open parentheses 4 square root of 6 minus 2 square root of 2 close parentheses open parentheses square root of 6 plus 3 close parentheses over denominator open parentheses square root of 6 close parentheses squared minus 3 squared end fraction equals fraction numerator 3 square root of 2 plus 3 square root of 6 minus 2 square root of 3 minus 6 over denominator 18 minus 12 end fraction plus fraction numerator 24 minus 2 square root of 12 plus 12 square root of 6 minus 6 square root of 2 over denominator 6 minus 9 end fraction equals fraction numerator 3 square root of 2 plus 3 square root of 6 minus 2 square root of 3 minus 6 over denominator 6 end fraction minus fraction numerator 24 minus 2 square root of 4 times 3 end root plus 12 square root of 6 minus 6 square root of 2 over denominator 3 end fraction equals fraction numerator 3 square root of 2 plus 3 square root of 6 minus 2 square root of 3 minus 6 over denominator 6 end fraction minus fraction numerator 24 minus 4 square root of 3 plus 12 square root of 6 minus 6 square root of 2 over denominator 3 end fraction equals fraction numerator 3 square root of 2 plus 3 square root of 6 minus 2 square root of 3 minus 6 over denominator 6 end fraction minus fraction numerator 48 minus 8 square root of 3 plus 24 square root of 6 minus 12 square root of 2 over denominator 6 end fraction equals fraction numerator 3 square root of 2 plus 3 square root of 6 minus 2 square root of 3 minus 6 minus 48 plus 8 square root of 3 minus 24 square root of 6 plus 12 square root of 2 over denominator 6 end fraction equals fraction numerator 3 square root of 2 plus 12 square root of 2 minus 2 square root of 3 plus 8 square root of 3 plus 3 square root of 6 minus 24 square root of 6 minus 6 minus 48 over denominator 6 end fraction equals fraction numerator open parentheses 3 plus 12 close parentheses square root of 2 plus open parentheses negative 2 plus 8 close parentheses square root of 3 plus left parenthesis 3 minus 24 right parenthesis square root of 6 minus 54 over denominator 6 end fraction equals fraction numerator 15 square root of 2 plus 6 square root of 3 minus 21 square root of 6 minus 54 over denominator 6 end fraction equals fraction numerator 3 left parenthesis 5 square root of 2 plus 2 square root of 3 minus 7 square root of 6 minus 27 right parenthesis over denominator 6 end fraction equals fraction numerator 5 square root of 2 plus 2 square root of 3 minus 7 square root of 6 minus 27 over denominator 2 end fraction end style 

Jadi, hasil dari undefined adalah undefined.

Dengan demikian, jawaban yang tepat adalah D.

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