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Bentuk sederhana dari 42​−26​28​​ adalah ...

Pertanyaan

Bentuk sederhana dari fraction numerator 2 square root of 8 over denominator 4 square root of 2 minus 2 square root of 6 end fraction adalah ...

  1. 4 minus 2 square root of 3

  2. 4 plus 2 square root of 3

  3. 8 plus 4 square root of 3

  4. square root of 2 minus square root of 6

  5. 8 square root of 2 minus 4 square root of 6

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

equals fraction numerator 2 square root of 8 over denominator 4 square root of 2 minus 2 square root of 6 end fraction cross times fraction numerator 4 square root of 2 plus 2 square root of 6 over denominator 4 square root of 2 plus 2 square root of 6 end fraction  equals fraction numerator left parenthesis 2 square root of 8 cross times 4 square root of 2 right parenthesis plus left parenthesis 2 square root of 8 cross times 4 square root of 6 right parenthesis over denominator open parentheses 4 square root of 2 close parentheses squared minus open parentheses 2 square root of 6 close parentheses squared end fraction  equals fraction numerator 8 square root of 16 plus 4 square root of 48 over denominator left parenthesis 16 cross times 2 right parenthesis minus left parenthesis 4 cross times 6 right parenthesis end fraction  equals fraction numerator 32 plus 4 square root of 3 cross times 16 end root over denominator 32 minus 24 end fraction  equals fraction numerator 32 plus 16 square root of 3 over denominator 8 end fraction equals fraction numerator up diagonal strike 8 left parenthesis 4 plus 2 square root of 3 right parenthesis over denominator up diagonal strike 8 end fraction equals 4 plus 2 square root of 3

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