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Bentuk sederhana dari 3​−2​3​​ adalah ...

Pertanyaan

Bentuk sederhana dari fraction numerator square root of 3 over denominator square root of 3 minus square root of 2 end fraction adalah ...begin mathsize 14px style space end style 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

 table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 3 over denominator square root of 3 minus square root of 2 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 6 end cell end table.

Pembahasan

Menyederhanakan pecahan berpenyebut akar adalah dengan cara mengalikan bentuk sekawan dari penyebut pecahan tersebut.

Diketahui fraction numerator square root of 3 over denominator square root of 3 minus square root of 2 end fraction.

Bentuk sekawan dari square root of 3 minus square root of 2 adalah square root of 3 plus square root of 2.

Maka, bentuk sederhana dari fraction numerator square root of 3 over denominator square root of 3 minus square root of 2 end fraction adalah:

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

Jadi, table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 3 over denominator square root of 3 minus square root of 2 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 6 end cell end table.

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Mohamad Adkia A

Pembahasan tidak lengkap

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