Rasionalkan penyebut pecahan 7​+38​!

Pertanyaan

Rasionalkan penyebut pecahan fraction numerator 8 over denominator square root of 7 plus 3 end fraction!

N. Puspita

Master Teacher

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Jawaban

 fraction numerator 8 over denominator square root of 7 plus 3 end fraction equals negative 4 square root of 7 plus 12 

Pembahasan

Pecahan fraction numerator 8 over denominator square root of 7 plus 3 end fraction dapat dirasionalkan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 8 over denominator square root of 7 plus 3 end fraction end cell equals cell fraction numerator 8 over denominator square root of 7 plus 3 end fraction cross times fraction numerator square root of 7 minus 3 over denominator square root of 7 minus 3 end fraction end cell row blank equals cell fraction numerator 8 open parentheses square root of 7 minus 3 close parentheses over denominator 7 minus 9 end fraction end cell row blank equals cell fraction numerator 8 open parentheses square root of 7 minus 3 close parentheses over denominator negative 2 end fraction end cell row blank equals cell negative 4 open parentheses square root of 7 minus 3 close parentheses end cell row blank equals cell negative 4 square root of 7 plus 12 end cell end table

Dengan demikian, fraction numerator 8 over denominator square root of 7 plus 3 end fraction equals negative 4 square root of 7 plus 12 

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