Pertanyaan

Rasionalkan pecahan 4 − 8 12 !

Rasionalkan pecahan $\frac{12}{4 - 8}$ !

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

hasil merasionalkan pecahan adalah .

hasil merasionalkan pecahan $begin mathsize 14px style fraction numerator 12 over denominator 4 minus square root of 8 end fraction end style$ adalah $begin mathsize 14px style fraction numerator 3 left parenthesis 4 plus square root of 8 right parenthesis over denominator 2 end fraction end style$ .

Pembahasan

Jadi, hasil merasionalkan pecahan adalah .

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 12 over denominator 4 minus square root of 8 end fraction end cell row blank equals cell fraction numerator 12 over denominator 4 minus square root of 8 end fraction cross times fraction numerator 4 plus square root of 8 over denominator 4 plus square root of 8 end fraction end cell row blank equals cell fraction numerator 12 left parenthesis 4 plus square root of 8 right parenthesis over denominator 4 squared minus left parenthesis square root of 8 right parenthesis squared end fraction end cell row blank equals cell fraction numerator 12 left parenthesis 4 plus square root of 8 right parenthesis over denominator 16 minus 8 end fraction end cell row blank equals cell fraction numerator 12 left parenthesis 4 plus square root of 8 right parenthesis over denominator 8 end fraction end cell row blank equals cell fraction numerator 3 left parenthesis 4 plus square root of 8 right parenthesis over denominator 2 end fraction end cell end table end style$

Jadi, hasil merasionalkan pecahan $begin mathsize 14px style fraction numerator 12 over denominator 4 minus square root of 8 end fraction end style$ adalah $begin mathsize 14px style fraction numerator 3 left parenthesis 4 plus square root of 8 right parenthesis over denominator 2 end fraction end style$ .