Pertanyaan

0 − 2 1 + 4 5 ⋅ 1 2 1 3 ⋅ 2 1 + 2 1 2 ⋅ 2 1 = ...

$\frac{\frac{1}{2} 3 \cdot \frac{1}{2} + \frac{1}{2} 2 \cdot \frac{1}{2}}{0 - \frac{1}{2} + \frac{5}{4} \cdot 1} = ...$

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Jawaban terverifikasi

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Pembahasan

Dalam operasi hitung yang diutamakan adalah perkalian dan pembagian, lalu penjumlahan dan pengurangan. Jadi, .

Dalam operasi hitung yang diutamakan adalah perkalian dan pembagian, lalu penjumlahan dan pengurangan.

$fraction numerator begin display style 1 half end style square root of 3 times begin display style 1 half end style plus begin display style 1 half end style square root of 2 times begin display style 1 half end style over denominator 0 minus begin display style 1 half end style plus begin display style 5 over 4 end style times 1 end fraction equals fraction numerator begin display style open parentheses 1 half square root of 3 times 1 half close parentheses plus open parentheses 1 half square root of 2 times 1 half close parentheses end style over denominator 0 minus begin display style 1 half end style plus open parentheses begin display style 5 over 4 end style times 1 close parentheses end fraction equals fraction numerator begin display style fraction numerator 1 cross times 1 over denominator 2 cross times 2 end fraction end style square root of 3 plus begin display style fraction numerator 1 cross times 1 over denominator 2 cross times 2 end fraction end style square root of 2 over denominator 0 minus begin display style 1 half end style plus begin display style 5 over 4 end style end fraction equals fraction numerator begin display style 1 fourth square root of 3 plus 1 fourth square root of 2 end style over denominator negative begin display style 1 half end style plus begin display style 5 over 4 end style end fraction equals fraction numerator begin display style 1 fourth square root of 3 plus 1 fourth square root of 2 end style over denominator negative begin display style fraction numerator 1 cross times 2 over denominator 2 cross times 2 end fraction end style plus begin display style 5 over 4 end style end fraction space left parenthesis samakan space penyebut right parenthesis equals fraction numerator begin display style 1 fourth square root of 3 plus 1 fourth square root of 2 end style over denominator negative begin display style 2 over 4 end style plus begin display style 5 over 4 end style end fraction equals equals fraction numerator begin display style 1 fourth square root of 3 plus 1 fourth square root of 2 end style over denominator begin display style 3 over 4 end style end fraction equals open parentheses 1 fourth square root of 3 plus 1 fourth square root of 2 close parentheses divided by 3 over 4 equals open parentheses 1 fourth square root of 3 plus 1 fourth square root of 2 close parentheses cross times 4 over 3 equals open parentheses 4 over 3 times 1 fourth square root of 3 close parentheses plus open parentheses 4 over 3 times 1 fourth square root of 2 close parentheses equals 4 over 12 square root of 3 plus 4 over 12 square root of 2 equals 4 over 12 open parentheses square root of 3 plus square root of 2 close parentheses space left parenthesis dibagi space 4 right parenthesis equals 1 third open parentheses square root of 3 plus square root of 2 close parentheses space$

Jadi, $fraction numerator begin display style 1 half end style square root of 3 times begin display style 1 half end style plus begin display style 1 half end style square root of 2 times begin display style 1 half end style over denominator 0 minus begin display style 1 half end style plus begin display style 5 over 4 end style times 1 end fraction equals 1 third open parentheses square root of 3 plus square root of 2 close parentheses space$ .