Hasil dari 3√54-5√6/5√8+4√2 adalah…​

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Hasil dari 3√54-5√6/5√8+4√2 adalah…​

Jawaban:

hasil dari :

 = frac{3 sqrt{54} - 5 sqrt{6} }{5 sqrt{8} + 4 sqrt{2} } \ = frac{3 sqrt{9 times 6} - 5 sqrt{6} }{5 sqrt{4 times 2} + 4 sqrt{2} } \ = frac{9 sqrt{6} - 5 sqrt{6} }{10 sqrt{2} + 4 sqrt{2} } \ = frac{4 sqrt{6} }{14 sqrt{2} } \ = frac{4}{14} sqrt{ frac{6}{2} } \ = frac{2}{7} sqrt{3}

(3√54 – 5√6) ÷ (5√8 + 4√2) =

(3 x 3√6 – 5√6) ÷ (5 x 2√2 + 4√2) =

(9√6 – 5√6) ÷ (10√2 + 4√2) =

4√6 ÷ 14√2 = (4/14) x √(6÷2) = (2/7)√3