Pertanyaan

Nilai dari 1 − 4 3 1 + 1 + 4 3 1 + 1 + 3 2 adalah

Nilai dari $\frac{1}{1 - 4 3} + \frac{1}{1 + 4 3} + \frac{2}{1 + 3}$ adalah

-2
-3

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$fraction numerator 1 over denominator 1 minus fourth root of 3 end fraction plus space fraction numerator begin display style 1 end style over denominator begin display style 1 plus fourth root of 3 end style end fraction plus fraction numerator begin display style 2 end style over denominator begin display style 1 plus square root of 3 end style end fraction equals open parentheses fraction numerator begin display style 1 end style over denominator begin display style 1 minus fourth root of 3 end style end fraction plus space fraction numerator begin display style 1 end style over denominator begin display style 1 plus fourth root of 3 end style end fraction close parentheses plus fraction numerator begin display style 2 end style over denominator begin display style 1 plus square root of 3 end style end fraction equals open parentheses fraction numerator left parenthesis 1 plus fourth root of 3 right parenthesis plus left parenthesis 1 minus fourth root of 3 right parenthesis end root over denominator left parenthesis 1 minus fourth root of 3 right parenthesis end root left parenthesis 1 plus fourth root of 3 right parenthesis end fraction close parentheses plus fraction numerator begin display style 2 end style over denominator begin display style 1 plus square root of 3 end style end fraction equals fraction numerator begin display style 2 end style over denominator begin display style 1 squared minus open parentheses fourth root of 3 close parentheses squared end style end fraction plus fraction numerator begin display style 2 end style over denominator begin display style 1 plus square root of 3 end style end fraction equals fraction numerator begin display style 2 end style over denominator begin display style 1 minus square root of 3 end style end fraction plus space fraction numerator begin display style 2 end style over denominator begin display style 1 plus square root of 3 end style end fraction equals fraction numerator 2 open parentheses 1 plus square root of 3 close parentheses plus 2 open parentheses 1 minus square root of 3 close parentheses over denominator open parentheses 1 minus square root of 3 close parentheses begin display style open parentheses 1 plus square root of 3 close parentheses end style end fraction equals fraction numerator 2 plus 2 space square root of 3 space plus space 2 space minus space 2 square root of 3 over denominator 1 squared minus open parentheses square root of 3 close parentheses squared end fraction equals space fraction numerator 4 over denominator 1 minus 3 end fraction equals fraction numerator 4 over denominator negative 2 end fraction equals negative 2$