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Hasil dari  adalah ....

Hasil dari fraction numerator 4 over denominator square root of 12 end fraction plus fraction numerator 1 over denominator square root of 27 end fraction minus fraction numerator 1 over denominator square root of 3 end fraction plus fraction numerator 1 over denominator square root of 48 end fraction adalah ....

  1. fraction numerator 19 square root of 3 over denominator 36 end fraction 

  2. fraction numerator 5 square root of 3 over denominator 36 end fraction 

  3. fraction numerator 7 square root of 3 over denominator 20 end fraction 

  4. fraction numerator 5 square root of 3 over denominator 20 end fraction  

Jawaban:

Diektahui fraction numerator 4 over denominator square root of 12 end fraction plus fraction numerator 1 over denominator square root of 27 end fraction minus fraction numerator 1 over denominator square root of 3 end fraction plus fraction numerator 1 over denominator square root of 48 end fraction.

Untuk menentukan hasil dari operasi pecahan akar tersebut dengan menyederhankan bentuk akarnya terlebih dahulu kemudian rasionalkan penyebutnya, seperti berikut :

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 4 over denominator square root of 12 end fraction plus fraction numerator 1 over denominator square root of 27 end fraction minus fraction numerator 1 over denominator square root of 3 end fraction plus fraction numerator 1 over denominator square root of 48 end fraction end cell equals cell fraction numerator 4 over denominator 2 square root of 3 end fraction plus fraction numerator 1 over denominator 3 square root of 3 end fraction minus fraction numerator square root of 3 over denominator 3 end fraction plus fraction numerator 1 over denominator 4 square root of 3 end fraction end cell row blank equals cell fraction numerator 2 over denominator square root of 3 end fraction plus fraction numerator square root of 3 over denominator 9 end fraction minus fraction numerator square root of 3 over denominator 3 end fraction plus fraction numerator square root of 3 over denominator 12 end fraction end cell row blank equals cell fraction numerator 2 square root of 3 over denominator 3 end fraction plus fraction numerator square root of 3 over denominator 9 end fraction minus fraction numerator square root of 3 over denominator 3 end fraction plus fraction numerator square root of 3 over denominator 12 end fraction end cell row blank equals cell fraction numerator 19 square root of 3 over denominator 36 end fraction end cell end table

Dengan demikian, hasil dari fraction numerator 4 over denominator square root of 12 end fraction plus fraction numerator 1 over denominator square root of 27 end fraction minus fraction numerator 1 over denominator square root of 3 end fraction plus fraction numerator 1 over denominator square root of 48 end fraction adalah fraction numerator 19 square root of 3 over denominator 36 end fraction.

Oleh karena itu, jawaban yang benar adalah A.

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