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Pertanyaan

Bentuk rasional dari 5 ​ − 3 ​ 6 ​ adalah….

Bentuk rasional dari   adalah….

  1. 3 square root of 5 plus square root of 3  

  2. 3 square root of 5 minus square root of 3  

  3. 3 square root of 5 plus 3 square root of 3  

  4. 3 square root of 5 minus 3 square root of 3  

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Pembahasan

Ingat: Maka:

Ingat:

open parentheses a plus b close parentheses open parentheses a minus b close parentheses equals a squared minus b squared  

Maka:

fraction numerator 6 over denominator square root of 5 minus square root of 3 end fraction equals fraction numerator 6 over denominator square root of 5 minus square root of 3 end fraction cross times fraction numerator square root of 5 plus square root of 3 over denominator square root of 5 plus square root of 3 end fraction equals fraction numerator 6 open parentheses square root of 5 plus square root of 3 close parentheses over denominator open parentheses square root of 5 close parentheses squared minus open parentheses square root of 3 close parentheses squared end fraction equals fraction numerator 6 open parentheses square root of 5 plus square root of 3 close parentheses over denominator 5 minus 3 end fraction equals fraction numerator 6 open parentheses square root of 5 plus square root of 3 close parentheses over denominator 2 end fraction equals 3 open parentheses square root of 5 plus square root of 3 close parentheses equals 3 square root of 5 plus 3 square root of 3  

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