Pertanyaan

Bentuk rasionaldari 2 17 + 12 2 adalah ....

Bentuk rasional dari $\frac{17 + 12 2}{2}$ adalah ....

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 plus 4 square root of 2 over denominator 4 end fraction end cell end table end style$
$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 plus 3 square root of 2 over denominator 4 end fraction end cell end table end style$
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator size 14px 3 size 14px plus size 14px 4 square root of size 14px 2 over denominator size 14px 2 end fraction end cell end table$

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

Perhatikan bahwa Jadi, bentuk rasional dari adalah . Dengan demikian, jawaban yang tepat adalah C.

Perhatikan bahwa

$begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator square root of 17 plus 12 square root of 2 end root over denominator square root of 2 end fraction end cell equals cell fraction numerator square root of 17 plus left parenthesis 2 cross times 6 right parenthesis square root of 2 end root over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 17 plus 2 square root of 72 end root over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of left parenthesis 8 plus 9 right parenthesis plus 2 square root of 8 cross times 9 end root end root over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 8 plus square root of 9 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 8 plus 3 over denominator square root of 2 end fraction cross times fraction numerator square root of 2 over denominator square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 16 plus 3 square root of 2 over denominator 2 end fraction end cell row blank equals cell fraction numerator 4 plus 3 square root of 2 over denominator 2 end fraction end cell end table end style$

Jadi, bentuk rasional dari $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 17 plus 12 square root of 2 end root over denominator square root of 2 end fraction end cell end table end style$ adalah $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 plus 3 square root of 2 over denominator 2 end fraction end cell end table end style$ .

Dengan demikian, jawaban yang tepat adalah C.