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Bentuk sederhana dari  adalah ...

Pertanyaan

Bentuk sederhana dari fraction numerator 2 over denominator square root of 12 minus square root of 8 end fraction adalah ...

  1. square root of 3 plus square root of 2 

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

  3. square root of 3 minus 1 fifth square root of 2 

  4. 2 open parentheses square root of 3 minus square root of 2 close parentheses 

  5. 2 over 4 square root of 12 minus square root of 8 

Pembahasan Soal:

Menyederhanakan fraction numerator 2 over denominator square root of 12 minus square root of 8 end fraction:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 over denominator square root of 12 minus square root of 8 end fraction end cell equals cell fraction numerator 2 over denominator square root of 2 squared cross times 3 end root minus square root of 2 squared cross times 2 end root end fraction end cell row blank equals cell fraction numerator 2 over denominator 2 square root of 3 minus 2 square root of 2 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 3 minus square root of 2 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 3 minus square root of 2 end fraction cross times fraction numerator square root of 3 plus square root of 2 over denominator square root of 3 plus square root of 2 end fraction end cell row blank equals cell fraction numerator square root of 3 plus square root of 2 over denominator open parentheses square root of 3 minus square root of 2 close parentheses open parentheses square root of 3 plus square root of 2 close parentheses end fraction end cell row blank equals cell fraction numerator square root of 3 plus square root of 2 over denominator square root of 3 squared end root plus square root of 6 minus square root of 6 minus square root of 2 squared end root end fraction end cell row blank equals cell fraction numerator square root of 3 plus square root of 2 over denominator 3 minus 2 end fraction end cell row blank equals cell fraction numerator square root of 3 plus square root of 2 over denominator 1 end fraction end cell row blank equals cell square root of 3 plus square root of 2 end cell end table 

Jadi, bentuk sederhana dari fraction numerator 2 over denominator square root of 12 minus square root of 8 end fraction adalah square root of 3 plus square root of 2.

Dengan demikian, jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 27 April 2021

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