Pertanyaan

Bentuk sederhana dari 5 − 3 2 5 − 6 3 adalah ...

Bentuk sederhana dari $\frac{2 5 - 6 3}{5 - 3}$ adalah ...

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$fraction numerator 2 square root of 5 minus 6 square root of 3 over denominator square root of 5 minus square root of 3 end fraction equals fraction numerator 2 square root of 5 minus 6 square root of 3 over denominator square root of 5 begin display style minus end style begin display style square root of 3 end style end fraction cross times fraction numerator square root of 5 begin display style plus end style begin display style square root of 3 end style over denominator square root of 5 begin display style plus end style begin display style space end style begin display style square root of 3 end style end fraction space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator left parenthesis 2 cross times 5 right parenthesis plus 2 square root of 15 minus 6 square root of 15 minus left parenthesis 6 cross times 3 right parenthesis over denominator 5 minus 3 end fraction space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator 10 minus 4 square root of 15 minus 18 over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space equals fraction numerator negative 8 minus 4 square root of 15 over denominator 2 end fraction space space space space space space space space space space space space space space space space space space space space space space equals negative 4 minus 2 square root of 15 space space space space space space space space space space space space space space space space space space space space space space equals space minus 4 minus 2 square root of 17$