Pertanyaan

Bentuk sederhana dari 4 2 − 2 6 2 8 adalah ...

Bentuk sederhana dari $\frac{2 8}{4 2 - 2 6}$ adalah ...

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$equals fraction numerator 2 square root of 8 over denominator 4 square root of 2 minus 2 square root of 6 end fraction cross times fraction numerator 4 square root of 2 plus 2 square root of 6 over denominator 4 square root of 2 plus 2 square root of 6 end fraction equals fraction numerator left parenthesis 2 square root of 8 cross times 4 square root of 2 right parenthesis plus left parenthesis 2 square root of 8 cross times 4 square root of 6 right parenthesis over denominator open parentheses 4 square root of 2 close parentheses squared minus open parentheses 2 square root of 6 close parentheses squared end fraction equals fraction numerator 8 square root of 16 plus 4 square root of 48 over denominator left parenthesis 16 cross times 2 right parenthesis minus left parenthesis 4 cross times 6 right parenthesis end fraction equals fraction numerator 32 plus 4 square root of 3 cross times 16 end root over denominator 32 minus 24 end fraction equals fraction numerator 32 plus 16 square root of 3 over denominator 8 end fraction equals fraction numerator up diagonal strike 8 left parenthesis 4 plus 2 square root of 3 right parenthesis over denominator up diagonal strike 8 end fraction equals 4 plus 2 square root of 3$