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

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N. Puspita

Master Teacher

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 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.

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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.

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