Pertanyaan

Bentuk rasional dari 11 − 7 6 − 3 adalah ....

Bentuk rasional dari $\frac{6 - 3}{11 - 7}$ adalah ....

$begin mathsize 14px style fraction numerator square root of 66 plus square root of 42 minus square root of 33 minus square root of 21 over denominator 4 end fraction end style$
$begin mathsize 14px style fraction numerator square root of 66 minus square root of 42 plus square root of 33 minus square root of 21 over denominator 4 end fraction end style$
$begin mathsize 14px style fraction numerator square root of 66 plus square root of 42 minus 3 square root of 11 minus 3 square root of 7 over denominator 4 end fraction end style$
$begin mathsize 14px style fraction numerator square root of 66 minus square root of 42 plus 3 square root of 11 minus 3 square root of 7 over denominator 4 end fraction end style$

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Habis dalam

Klaim

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

$begin mathsize 12px style fraction numerator square root of 6 minus 3 over denominator square root of 11 minus square root of 7 end fraction equals fraction numerator square root of 6 minus 3 over denominator square root of 11 minus square root of 7 end fraction cross times fraction numerator square root of 11 plus square root of 7 over denominator square root of 11 plus square root of 7 end fraction equals fraction numerator open parentheses square root of 6 cross times square root of 11 close parentheses minus open parentheses 3 cross times square root of 11 close parentheses plus open parentheses square root of 6 cross times square root of 7 close parentheses minus left parenthesis 3 cross times square root of 7 right parenthesis over denominator open parentheses square root of 11 close parentheses squared minus open parentheses square root of 7 close parentheses squared end fraction equals fraction numerator square root of 66 minus 3 square root of 11 plus square root of 42 minus 3 square root of 7 over denominator 11 minus 7 end fraction equals fraction numerator square root of 66 plus square root of 42 minus 3 square root of 11 minus 3 square root of 7 over denominator 4 end fraction end style$

Jadi, bentuk rasional dari $begin mathsize 14px style fraction numerator square root of 6 minus 3 over denominator square root of 11 minus square root of 7 end fraction end style$ adalah $begin mathsize 14px style fraction numerator square root of 66 plus square root of 42 minus 3 square root of 11 minus 3 square root of 7 over denominator 4 end fraction end style$ .

Dengan demikian, jawaban yang tepat adalah C.