Pertanyaan

Rasionalkan setiap bentuk akar berikut. f). 7 + 3 12

Rasionalkan setiap bentuk akar berikut.

f). $\frac{12}{7 + 3}$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

hasil bentuk rasional dari adalah .

hasil bentuk rasional dari $fraction numerator 12 over denominator square root of 7 plus square root of 3 end fraction$ adalah

Pembahasan

Ingat: maka Jadi hasil bentuk rasional dari adalah .

Ingat:

maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 12 over denominator square root of 7 plus square root of 3 end fraction end cell equals cell fraction numerator 12 over denominator square root of 7 plus square root of 3 end fraction cross times fraction numerator square root of 7 minus square root of 3 over denominator square root of 7 minus square root of 3 end fraction end cell row blank equals cell fraction numerator 12 left parenthesis square root of 7 minus square root of 3 right parenthesis over denominator open parentheses square root of 7 plus square root of 3 close parentheses open parentheses square root of 7 minus square root of 3 close parentheses end fraction end cell row blank equals cell fraction numerator 12 left parenthesis square root of 7 minus square root of 3 right parenthesis over denominator square root of 49 minus square root of 21 plus square root of 21 minus square root of 9 end fraction end cell row blank equals cell fraction numerator 12 left parenthesis square root of 7 minus square root of 3 right parenthesis over denominator 7 minus 3 end fraction end cell row blank equals cell fraction numerator 12 left parenthesis square root of 7 minus square root of 3 right parenthesis over denominator 4 end fraction end cell row blank equals cell 3 left parenthesis square root of 7 minus square root of 3 right parenthesis end cell end table$

Jadi hasil bentuk rasional dari $fraction numerator 12 over denominator square root of 7 plus square root of 3 end fraction$ adalah .