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Rasionalkan penyebut bentuk-bentuk akar berikut. d. 7​−3​23​+3​

Pertanyaan

Rasionalkan penyebut bentuk-bentuk akar berikut.

d. fraction numerator 2 square root of 3 plus 3 over denominator square root of 7 minus square root of 3 end fraction

Y. Umi

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

rasinal dari fraction numerator 2 square root of 3 plus 3 over denominator square root of 7 minus square root of 3 end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 square root of 21 plus 3 open parentheses square root of 7 plus square root of 3 close parentheses plus 6 over denominator 4 end fraction end cell end table.

Pembahasan

Bentuk fraction numerator 2 square root of 3 plus 3 over denominator square root of 7 minus square root of 3 end fraction dapat dirasionalkan penyebutnya menjadi

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 square root of 3 plus 3 over denominator square root of 7 minus square root of 3 end fraction times fraction numerator square root of 7 plus square root of 3 over denominator square root of 7 plus square root of 3 end fraction end cell equals cell fraction numerator 2 square root of 3 times square root of 7 plus 2 square root of 3 times square root of 3 plus 3 square root of 7 plus 3 square root of 3 over denominator square root of 7 times square root of 7 minus square root of 7 times square root of 3 plus square root of 7 times square root of 3 minus square root of 3 times square root of 3 end fraction end cell row blank equals cell fraction numerator 2 square root of 21 plus 2 square root of 9 plus 3 square root of 7 plus 3 square root of 3 over denominator open parentheses square root of 49 minus square root of 9 close parentheses end fraction end cell row blank equals cell fraction numerator 2 square root of 21 plus 2 times 3 plus 3 square root of 7 plus 3 square root of 3 over denominator open parentheses 7 minus 3 close parentheses end fraction end cell row blank equals cell fraction numerator 2 square root of 21 plus 3 open parentheses square root of 7 plus square root of 3 close parentheses plus 6 over denominator 4 end fraction end cell end table end style

Jadi, rasinal dari fraction numerator 2 square root of 3 plus 3 over denominator square root of 7 minus square root of 3 end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 square root of 21 plus 3 open parentheses square root of 7 plus square root of 3 close parentheses plus 6 over denominator 4 end fraction end cell end table.

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