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Bentuk sederhana dari  adalah ...

Bentuk sederhana dari fraction numerator 2 square root of 28 plus square root of 7 over denominator square root of 343 minus 2 square root of 63 end fraction adalah ...

  1. 1 half square root of 7 

  2. 2 square root of 7 

  3. 5 

  4. 7 

Jawaban:

Diketahui fraction numerator 2 square root of 28 plus square root of 7 over denominator square root of 343 minus 2 square root of 63 end fraction.

Menyederhanakan bentuk bilangan tersebut dengan menyederhankan tiap akar dengan suku sejenis.

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 square root of 28 plus square root of 7 over denominator square root of 343 minus 2 square root of 63 end fraction end cell equals cell fraction numerator 2 square root of 4 cross times 7 end root plus square root of 7 over denominator square root of 49 cross times 7 end root minus 2 square root of 9 cross times 7 end root end fraction end cell row blank equals cell fraction numerator 2 cross times 2 square root of 7 plus square root of 7 over denominator 7 square root of 7 minus 2 cross times 3 square root of 7 end fraction end cell row blank equals cell fraction numerator 4 square root of 7 plus square root of 7 over denominator 7 square root of 7 minus 6 square root of 7 end fraction end cell row blank equals cell fraction numerator 5 up diagonal strike square root of 7 end strike over denominator up diagonal strike square root of 7 end strike end fraction end cell row blank equals 5 end table

Dengan demikian, Bentuk sederhana dari fraction numerator 2 square root of 28 plus square root of 7 over denominator square root of 343 minus 2 square root of 63 end fraction adalah 5.

Oleh karena itu, jawaban yang benar adalah C.

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