Roboguru

Tentukan hasil akar berikut .

Tentukan hasil akar berikut begin mathsize 14px style open parentheses 4 square root of 2 minus 3 square root of 5 close parentheses open parentheses 2 square root of 2 plus square root of 5 close parentheses end style.

  1. begin mathsize 14px style 1 minus 2 square root of 10 end style 

  2. size 14px minus size 14px 2 square root of size 14px 10 

  3. begin mathsize 14px style 3 square root of 10 end style 

  4. size 14px 1 size 14px minus size 14px 2 square root of size 14px 5 

  5. size 14px 1 size 14px minus size 14px 2 square root of size 14px 2 

Jawaban:

Soal ini dapat diselesaikan dengan sifat distributif sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell left parenthesis 4 square root of 2 minus 3 square root of 5 right parenthesis left parenthesis 2 square root of 2 plus square root of 5 right parenthesis end cell equals cell 4 square root of 2 cross times 2 square root of 2 plus 4 square root of 2 cross times square root of 5 minus 3 square root of 5 cross times 2 square root of 2 minus 3 square root of 5 cross times square root of 5 end cell row blank equals cell 16 plus 4 square root of 10 minus 6 square root of 10 minus 15 end cell row blank equals cell 1 minus 2 square root of 10 end cell end table end style

Jadi, jawaban yang tepat adalah A.

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