12−3273 = ....

Pertanyaan

$begin mathsize 14px style fraction numerator 27 square root of 3 over denominator square root of 12 minus 3 end fraction end style$ = ....

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

$begin mathsize 14px style fraction numerator 27 square root of 3 over denominator square root of 12 minus 3 end fraction equals fraction numerator 27 square root of 3 over denominator square root of 12 minus 3 end fraction cross times fraction numerator square root of 12 plus 3 over denominator square root of 12 plus 3 end fraction space space space space space space space space space space space space space space space equals fraction numerator 27 square root of 3 open parentheses square root of 12 plus 3 close parentheses over denominator 12 minus 9 end fraction space space space space space space space space space space space space space space space equals fraction numerator 27 square root of 3 open parentheses square root of 12 plus 3 close parentheses over denominator 3 end fraction space space space space space space space space space space space space space space space equals 9 square root of 3 open parentheses square root of 12 plus 3 close parentheses space space space space space space space space space space space space space space space equals 9 square root of 36 plus 27 square root of 3 space space space space space space space space space space space space space space space equals 54 plus 27 square root of 3 end style$

Jadi, jawaban yang tepat adalah D.