Pertanyaan

Diketahui 20 − 18 a = 4 dan 28 + 12 b = 63 , maka b − a adalah ....

Diketahui $\frac{a}{20 - 18} = 4$ dan $\frac{b}{28 + 12} = 63$ , maka $b - a$ adalah ....

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$begin mathsize 14px style fraction numerator italic a over denominator square root of 20 minus sign square root of 18 end fraction equals 4 fraction numerator italic a over denominator square root of 20 minus sign square root of 18 end fraction cross times open parentheses square root of 20 minus sign square root of 18 close parentheses equals 4 cross times open parentheses square root of 20 minus sign square root of 18 close parentheses italic a equals 4 cross times open parentheses square root of 4 cross times 5 end root minus sign square root of 9 cross times 2 end root close parentheses italic a equals 4 cross times open parentheses 2 square root of 5 minus sign 3 square root of 2 close parentheses italic a equals open parentheses 4 cross times 2 square root of 5 close parentheses minus sign left parenthesis 4 cross times 3 square root of 2 right parenthesis italic a equals 8 square root of 5 minus sign 12 square root of 2 dan space fraction numerator italic b over denominator square root of 28 plus square root of 12 end fraction equals square root of 63 fraction numerator italic b over denominator square root of 28 plus square root of 12 end fraction cross times open parentheses square root of 28 plus square root of 12 close parentheses equals square root of 63 cross times open parentheses square root of 28 plus square root of 12 close parentheses italic b equals square root of 9 cross times 7 end root cross times open parentheses square root of 4 cross times 7 end root plus square root of 4 cross times 3 end root close parentheses italic b equals 3 square root of 7 cross times open parentheses 2 square root of 7 plus 2 square root of 3 close parentheses italic b equals open parentheses 3 square root of 7 cross times 2 square root of 7 close parentheses plus open parentheses 3 square root of 7 cross times 2 square root of 3 close parentheses italic b equals open parentheses 6 cross times 7 close parentheses plus 6 square root of 21 italic b equals 42 plus 6 square root of 21 end style$

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