Pertanyaan

Bentuk sederhana dari 3 2 + 2 6 4 18 − 6 6 adalah ....

Bentuk sederhana dari $\frac{4 18 - 6 6}{3 2 + 2 6}$ adalah ....

H. Eka

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Pembahasan

$fraction numerator 4 square root of 18 minus 6 square root of 6 over denominator 3 square root of 2 plus 2 square root of 6 end fraction equals fraction numerator 4 square root of 18 minus 6 square root of 6 over denominator 3 square root of 2 plus 2 square root of 6 end fraction cross times fraction numerator 3 square root of 2 minus 2 square root of 6 over denominator 3 square root of 2 minus 2 square root of 6 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis 4 square root of 18 minus 6 square root of 6 right parenthesis left parenthesis 3 square root of 2 minus 2 square root of 6 right parenthesis over denominator left parenthesis 3 square root of 2 right parenthesis squared minus left parenthesis 2 square root of 6 right parenthesis squared end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis 4 square root of 18 minus 6 square root of 6 right parenthesis left parenthesis 3 square root of 2 minus 2 square root of 6 right parenthesis over denominator 18 minus 24 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 12 square root of 36 minus 8 square root of 108 minus 18 square root of 12 plus 12 square root of 36 over denominator negative 6 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 72 minus 8 left parenthesis 6 right parenthesis square root of 3 minus 18 left parenthesis 2 right parenthesis square root of 3 plus 72 over denominator negative 6 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 144 minus 84 square root of 3 over denominator negative 6 end fraction equals negative 24 plus 14 square root of 3$