Pertanyaan

Pecahan 3 + 3 6 setara dengan ...

Pecahan $\frac{6}{3 + 3}$ setara dengan ...

B. Hary

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Merasionalisasikan : Jadi, pecahan setara dengan . Dengan demikian, jawaban yang tepat adalah B.

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.