Rasionalkan penyebut dari bilangan-bilangan berikut! d. 53​+35​35​−53​​

Pertanyaan

Rasionalkan penyebut dari bilangan-bilangan berikut!

d. begin mathsize 14px style fraction numerator 3 square root of 5 minus 5 square root of 3 over denominator 5 square root of 3 plus 3 square root of 5 end fraction end style 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk rasional yaitu table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 15 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table 4.

Pembahasan

Rasionalkan dengan cara perkalian sekawan sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 3 square root of 5 minus 5 square root of 3 over denominator 5 square root of 3 plus 3 square root of 5 end fraction end cell equals cell fraction numerator 3 square root of 5 minus 5 square root of 3 over denominator 5 square root of 3 plus 3 square root of 5 end fraction cross times fraction numerator 5 square root of 3 minus 3 square root of 5 over denominator 5 square root of 3 minus 3 square root of 5 end fraction end cell row blank equals cell fraction numerator 15 square root of 15 minus 9 square root of 25 minus 25 square root of 9 plus 15 square root of 15 over denominator 75 minus 45 end fraction end cell row blank equals cell fraction numerator 30 square root of 15 minus 45 minus 75 over denominator 30 end fraction end cell row blank equals cell fraction numerator 30 square root of 15 minus 120 over denominator 30 end fraction end cell row blank equals cell fraction numerator 30 left parenthesis square root of 15 minus 4 right parenthesis over denominator 30 end fraction end cell row blank equals cell square root of 15 minus 4 end cell end table

Jadi, bentuk rasional yaitu table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 15 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table 4.

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