Hasil dari 3−3​18−85​​​+23​+6​6​​ adalah ....

Pertanyaan

Hasil dari begin mathsize 14px style fraction numerator square root of 18 minus 8 square root of 5 end root over denominator 3 minus square root of 3 end fraction plus fraction numerator square root of 6 over denominator 2 square root of 3 plus square root of 6 end fraction end style adalah ....

  1. begin mathsize 14px style fraction numerator square root of 30 plus 3 square root of 10 minus 2 square root of 6 minus 6 over denominator 6 end fraction end style 

  2. begin mathsize 14px style fraction numerator square root of 30 plus 2 square root of 10 minus square root of 6 minus 6 over denominator 6 end fraction end style 

  3. begin mathsize 14px style fraction numerator square root of 30 plus 3 square root of 10 minus square root of 6 minus 6 over denominator 3 end fraction end style 

  4. begin mathsize 14px style fraction numerator square root of 30 plus square root of 10 minus 2 square root of 6 minus 6 over denominator 3 end fraction end style 

S. Difhayanti

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Prof. Dr. Hamka

Jawaban terverifikasi

Pembahasan

Ingat

begin mathsize 14px style open parentheses a plus b close parentheses open parentheses a minus b close parentheses equals a squared minus b squared end style 

Maka

begin mathsize 12px style fraction numerator square root of 18 minus 8 square root of 5 end root over denominator 3 minus square root of 3 end fraction plus fraction numerator square root of 6 over denominator 2 square root of 3 plus square root of 6 end fraction equals open parentheses fraction numerator square root of 18 minus 2 times 4 square root of 5 end root over denominator 3 minus square root of 3 end fraction cross times fraction numerator 3 plus square root of 3 over denominator 3 plus square root of 3 end fraction close parentheses plus open parentheses fraction numerator square root of 6 over denominator 2 square root of 3 plus square root of 6 end fraction cross times fraction numerator 2 square root of 3 minus square root of 6 over denominator 2 square root of 3 minus square root of 6 end fraction close parentheses equals open parentheses fraction numerator open parentheses square root of 18 minus 2 square root of 80 end root close parentheses open parentheses 3 plus square root of 3 close parentheses over denominator 3 squared minus open parentheses square root of 3 close parentheses squared end fraction close parentheses plus open parentheses fraction numerator square root of 6 open parentheses 2 square root of 3 minus square root of 6 close parentheses over denominator open parentheses 2 square root of 3 close parentheses squared minus open parentheses square root of 6 close parentheses squared end fraction close parentheses equals open parentheses fraction numerator open parentheses square root of left parenthesis 10 plus 8 right parenthesis minus 2 square root of 10 times 8 end root end root close parentheses open parentheses 3 plus square root of 3 close parentheses over denominator 9 minus 3 end fraction close parentheses plus open parentheses fraction numerator open parentheses square root of 6 times 2 square root of 3 close parentheses minus open parentheses square root of 6 times square root of 6 close parentheses over denominator 12 minus 6 end fraction close parentheses equals open parentheses fraction numerator open parentheses square root of 10 minus square root of 8 close parentheses open parentheses 3 plus square root of 3 close parentheses over denominator 6 end fraction close parentheses plus open parentheses fraction numerator 2 square root of 18 minus 6 over denominator 6 end fraction close parentheses equals fraction numerator open parentheses square root of 10 times 3 close parentheses minus open parentheses square root of 8 times 3 close parentheses plus open parentheses square root of 10 times square root of 3 close parentheses minus open parentheses square root of 8 times square root of 3 close parentheses plus open parentheses 2 square root of 9 times 2 end root minus 6 close parentheses over denominator 6 end fraction equals fraction numerator 3 square root of 10 minus 3 square root of 8 plus square root of 30 minus square root of 24 plus 6 square root of 2 minus 6 over denominator 6 end fraction equals fraction numerator 3 square root of 10 minus 3 times 2 square root of 2 plus square root of 30 minus 2 square root of 6 plus 6 square root of 2 minus 6 over denominator 6 end fraction equals fraction numerator 3 square root of 10 minus 6 square root of 2 plus square root of 30 minus 2 square root of 6 plus 6 square root of 2 minus 6 over denominator 6 end fraction equals fraction numerator square root of 30 plus 3 square root of 10 minus 2 square root of 6 minus 6 square root of 2 plus 6 square root of 2 minus 6 over denominator 6 end fraction equals fraction numerator square root of 30 plus 3 square root of 10 minus 2 square root of 6 minus 6 over denominator 6 end fraction end style 

Jadi, hasil dari undefined adalah undefined.

Dengan demikian, jawaban yang tepat adalah A.

 

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