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Pecahan 3+3​6​ setara dengan ...

Pertanyaan

Pecahan fraction numerator 6 over denominator 3 plus square root of 3 end fraction setara dengan ...

  1. 3 plus square root of 3 

  2. 3 minus square root of 3 space 

  3. 2 open parentheses 3 plus square root of 3 close parentheses space 

  4. 3 open parentheses 3 minus square root of 3 close parentheses space 

B. Hary

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Merasionalisasikan fraction numerator 6 over denominator 3 plus square root of 3 end fraction:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 6 over denominator 3 plus square root of 3 end fraction end cell equals cell fraction numerator 6 over denominator 3 plus square root of 3 end fraction cross times fraction numerator 3 minus square root of 3 over denominator 3 minus square root of 3 end fraction end cell row blank equals cell fraction numerator 6 open parentheses 3 minus square root of 3 close parentheses over denominator 3 plus square root of 3 open parentheses 3 minus square root of 3 close parentheses end fraction end cell row blank equals cell fraction numerator 18 minus 6 square root of 3 over denominator 9 minus 3 square root of 3 plus 3 square root of 3 minus square root of 3 squared end root end fraction end cell row blank equals cell fraction numerator 18 minus 6 square root of 3 over denominator 9 minus 3 end fraction end cell row blank equals cell fraction numerator 18 minus 6 square root of 3 over denominator 6 end fraction end cell row blank equals cell 3 minus square root of 3 end cell end table 

Jadi, pecahan fraction numerator 6 over denominator 3 plus square root of 3 end fraction setara dengan 3 minus square root of 3.

Dengan demikian, jawaban yang tepat adalah B.

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