Pertanyaan

Sederhanakanlah bentuk akar 4 − 15 75 + 2 3 + 4 + 15 12 − 3 5 !

Sederhanakanlah bentuk akar $\frac{75 + 2 3}{4 - 15} + \frac{12 - 3 5}{4 + 15}$ !

8 dari 10 siswa nilainya naik

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Klaim

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$fraction numerator square root of 75 plus 2 square root of 3 over denominator 4 minus square root of 15 end fraction plus fraction numerator square root of 12 begin display style minus end style begin display style square root of 48 end style over denominator 4 plus square root of 15 end fraction equals fraction numerator 5 square root of 3 plus 2 square root of 3 over denominator 4 minus square root of 15 end fraction plus fraction numerator 2 square root of 3 minus 4 square root of 3 over denominator 4 plus square root of 15 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 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 5 square root of 3 plus 2 square root of 3 close parentheses open parentheses 4 plus square root of 15 close parentheses plus open parentheses negative 2 square root of 3 close parentheses open parentheses 4 minus square root of 15 close parentheses over denominator open parentheses 4 minus square root of 15 close parentheses open parentheses 4 plus square root of 15 close parentheses end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 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 28 square root of 3 plus 21 square root of 5 close parentheses plus open parentheses negative 8 square root of 3 plus 6 square root of 5 close parentheses over denominator 16 minus 15 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 20 square root of 3 plus 27 square root of 5$