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Bentuk sederhana dari adalah ....

Bentuk sederhana dari begin mathsize 14px style fraction numerator open parentheses square root of 3 plus square root of 7 close parentheses open parentheses square root of 3 minus square root of 7 close parentheses over denominator 2 square root of 5 minus 4 square root of 2 end fraction end style adalah ....

  1. begin mathsize 14px style 2 over 3 open parentheses square root of 5 plus 2 square root of 2 close parentheses end style

  2. begin mathsize 14px style 2 over 3 open parentheses 2 square root of 2 minus square root of 5 close parentheses end style

  3. begin mathsize 14px style negative 2 over 3 open parentheses 2 square root of 5 plus 4 square root of 2 close parentheses end style

  4. begin mathsize 14px style negative 4 over 9 open parentheses 2 square root of 5 plus 4 square root of 2 close parentheses end style

  5. begin mathsize 14px style negative 4 over 9 open parentheses 2 square root of 5 minus square root of 2 close parentheses end style

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Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

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Pembahasan

3 + 7 3 - 7 2 5 - 4 2

begin mathsize 14px style straight i right parenthesis Kalikan space bentuk space pada space pembilang. space Ingat space bahwa  space space space open parentheses straight a plus straight b close parentheses open parentheses straight a minus straight b close parentheses equals straight a squared minus straight b squared  space space space Sehingga  space space space open parentheses square root of straight a plus square root of straight b close parentheses open parentheses square root of straight a minus square root of straight b close parentheses equals straight a minus straight b  space space space fraction numerator open parentheses square root of 3 plus square root of 7 close parentheses open parentheses square root of 3 minus square root of 7 close parentheses over denominator 2 square root of 5 minus 4 square root of 2 end fraction equals fraction numerator 3 minus 7 over denominator 2 square root of 5 minus 4 square root of 2 end fraction equals fraction numerator negative 4 over denominator 2 square root of 5 minus 4 square root of 2 end fraction    ii right parenthesis Rasionalkan space bentuk space pecahan space tersebut  space space space space fraction numerator straight a over denominator square root of straight b minus square root of straight c end fraction equals fraction numerator straight a over denominator square root of straight b minus square root of straight c end fraction. fraction numerator square root of straight b plus square root of straight c over denominator square root of straight b plus square root of straight c end fraction equals fraction numerator straight a open parentheses square root of straight b plus square root of straight c close parentheses over denominator straight b minus straight c end fraction    space space space space fraction numerator negative 4 over denominator 2 square root of 5 minus 4 square root of 2 end fraction equals fraction numerator negative 4 over denominator 2 square root of 5 minus 4 square root of 2 end fraction. fraction numerator 2 square root of 5 plus 4 square root of 2 over denominator 2 square root of 5 plus 4 square root of 2 end fraction equals fraction numerator negative 4 open parentheses 2 square root of 5 plus 4 square root of 2 close parentheses over denominator open parentheses 2 square root of 5 close parentheses squared minus open parentheses 4 square root of 2 close parentheses squared end fraction  space space space space equals fraction numerator negative 4 open parentheses 2 square root of 5 plus 4 square root of 2 close parentheses over denominator 20 minus 32 end fraction  space space space space equals fraction numerator negative 4 open parentheses 2 square root of 5 plus 4 square root of 2 close parentheses over denominator negative 12 end fraction  space space space space equals fraction numerator open parentheses 2 square root of 5 plus 4 square root of 2 close parentheses over denominator 3 end fraction equals 2 over 3 open parentheses square root of 5 plus 2 square root of 2 close parentheses end style

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