Roboguru

B e n t u k space s e d e r h a n a space d a r i space fraction numerator square root of 5 minus square root of 7 over denominator square root of 5 plus square root of 7 end fraction equals.....

  1. negative 6 minus square root of 35

  2. negative 6 plus square root of 35

  3. 6 minus square root of 35

  4. 12 minus 2 square root of 35

  5. 12 plus 2 square root of 35

Jawaban:

fraction numerator square root of 5 minus square root of 7 over denominator square root of 5 plus square root of 7 end fraction cross times fraction numerator begin display style square root of 5 minus square root of 7 end style over denominator begin display style square root of 5 minus square root of 7 end style end fraction  equals fraction numerator 5 minus 2 square root of 35 plus 7 over denominator 5 minus 7 end fraction  equals fraction numerator 12 minus 2 square root of 35 over denominator negative 2 end fraction  equals fraction numerator negative 2 left parenthesis negative 6 plus square root of 35 right parenthesis over denominator negative 2 end fraction  equals negative 6 plus square root of 35

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