Pertanyaan

Nilai dari 2 + 1 1 − 2 − 3 1 + 3 − 2 1 = ...

Nilai dari $\frac{1}{2 + 1} - \frac{1}{2 - 3} + \frac{1}{3 - 2} = ...$

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Klaim

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Pembahasan

Rasionalkan masing – masing pecahan, sebagai berikut : Makahasil operasi bilangan tersebut adalah

Rasionalkan masing – masing pecahan, sebagai berikut :

$fraction numerator 1 over denominator square root of 2 plus 1 end fraction times fraction numerator square root of 2 minus 1 over denominator square root of 2 minus 1 end fraction equals square root of 2 minus 1 fraction numerator 1 over denominator 2 minus square root of 3 end fraction times fraction numerator 2 plus square root of 3 over denominator 2 plus square root of 3 end fraction equals 2 plus square root of 3 fraction numerator 1 over denominator square root of 3 begin display style minus end style begin display style square root of 2 end style end fraction times fraction numerator square root of 3 plus square root of 2 over denominator square root of 3 plus square root of 2 end fraction equals square root of 3 plus square root of 2$

Maka hasil operasi bilangan tersebut adalah

$fraction numerator 1 over denominator square root of 2 plus 1 end fraction minus fraction numerator 1 over denominator 2 minus square root of 3 end fraction plus fraction numerator 1 over denominator square root of 3 begin display style minus end style begin display style square root of 2 end style end fraction equals square root of 2 minus 1 minus open parentheses 2 plus square root of 3 close parentheses plus square root of 3 plus square root of 2 equals 2 square root of 2 minus 3$