Pertanyaan

Bentuk sederhana dari 5 + 3 2 5 − 2 adalah ...

Bentuk sederhana dari $\frac{5 - 2}{5 + 3 2}$ adalah ...

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Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

5 - 2 5 +3 2 × 5 - 3 2 5 - 3 2 5 - 2 5 +3 2 × 5 - 3 2 5 - 3 2 5 - 2 5 +3 2 × 5 - 3 2 5 - 3 2

$fraction numerator square root of 5 minus square root of 2 over denominator square root of 5 plus 3 square root of 2 end fraction equals fraction numerator square root of 5 begin display style minus end style begin display style square root of 2 end style over denominator square root of 5 begin display style plus end style begin display style 3 end style begin display style square root of 2 end style end fraction cross times fraction numerator begin display style square root of 5 minus 3 square root of 2 end style over denominator square root of 5 begin display style minus end style begin display style 3 end style begin display style square root of 2 end style end fraction space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator open parentheses square root of 5 minus square root of 2 close parentheses begin display style square root of 5 end style begin display style minus end style begin display style 3 end style begin display style square root of 2 end style over denominator 5 minus 18 end fraction space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 5 minus 13 square root of 10 minus square root of 10 plus 6 over denominator negative 13 end fraction space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 11 minus 4 square root of 10 over denominator negative 13 end fraction space space space space space space space space space space space space space space space space space space space space space space equals 1 over 13 left parenthesis negative 11 plus 4 square root of 10 right parenthesis$