11​+4​14​ = ....

Pertanyaan

begin mathsize 14px style fraction numerator 14 over denominator square root of 11 plus square root of 4 end fraction end style = ....

  1. begin mathsize 14px style 2 square root of 11 minus 2 square root of 4 end style    

  2. begin mathsize 14px style square root of 11 minus square root of 4 end style    

  3. begin mathsize 14px style 14 open parentheses square root of 11 minus square root of 4 close parentheses end style    

  4. begin mathsize 14px style 14 over 15 open parentheses square root of 11 minus square root of 4 close parentheses end style    

R. Maharani

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Rasionalkan bentuk akar dengan cara kali akar sekawan. Seperti berikut ini

begin mathsize 14px style fraction numerator 14 over denominator square root of 11 plus square root of 4 end fraction equals fraction numerator 14 over denominator square root of 11 plus square root of 4 end fraction cross times fraction numerator square root of 11 minus square root of 4 over denominator square root of 11 minus square root of 4 end fraction space space space space space space space space space space space space space space space space space space equals fraction numerator 14 open parentheses square root of 11 minus square root of 4 close parentheses over denominator 11 minus 4 end fraction space space space space space space space space space space space space space space space space space space equals fraction numerator 14 open parentheses square root of 11 minus square root of 4 close parentheses over denominator 7 end fraction space space space space space space space space space space space space space space space space space space equals 2 open parentheses square root of 11 minus square root of 4 close parentheses space space space space space space space space space space space space space space space space space space equals 2 square root of 11 minus 2 square root of 4 end style    

Oleh karena itu, jawaban yang tepat adalah A.

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