Pertanyaan

Bentuk sederhana dari 3 − 6 2 3 + 3 2 = ...

Bentuk sederhana dari $\frac{3 + 3 2}{3 - 6 2}$ = ...

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$begin mathsize 12px style fraction numerator square root of 3 plus 3 square root of 2 over denominator square root of 3 minus 6 square root of 2 end fraction equals fraction numerator square root of 3 plus 3 square root of 2 over denominator square root of 3 minus 6 square root of 2 end fraction times fraction numerator open parentheses square root of 3 plus 6 square root of 2 close parentheses over denominator open parentheses square root of 3 plus 6 square root of 2 close parentheses end fraction equals fraction numerator 3 plus 6 square root of 6 plus 3 square root of 6 plus 36 over denominator 3 minus 72 end fraction equals fraction numerator 39 plus 9 square root of 6 over denominator negative 69 end fraction equals fraction numerator 39 over denominator negative 69 end fraction plus fraction numerator 9 square root of 6 over denominator negative 69 end fraction equals negative 13 over 23 minus fraction numerator 3 square root of 6 over denominator 23 end fraction equals negative 1 over 23 open parentheses 13 plus 3 square root of 6 close parentheses end style$