Roboguru

Rasionalkanlah:

Pertanyaan

Rasionalkanlah:

begin mathsize 14px style fraction numerator 9 over denominator 4 minus square root of 7 end fraction equals space... end style  

Pembahasan Soal:

Untuk merasionalkan bentuk akar dengan mengalikan akar sekawan dari bentuk tersebut, perhatikan perhitungan berikut:

begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell fraction numerator 9 over denominator 4 minus square root of 7 end fraction end cell equals cell fraction numerator 9 over denominator 4 minus square root of 7 end fraction cross times fraction numerator 4 plus square root of 7 over denominator 4 plus square root of 7 end fraction end cell row blank equals cell fraction numerator 9 open parentheses 4 plus square root of 7 close parentheses over denominator open parentheses 4 minus square root of 7 close parentheses open parentheses 4 plus square root of 7 close parentheses end fraction end cell row blank equals cell fraction numerator 36 plus 9 square root of 7 over denominator open parentheses 4 close parentheses squared minus open parentheses square root of 7 close parentheses squared end fraction end cell row blank equals cell fraction numerator 36 plus 9 square root of 7 over denominator 16 minus 49 end fraction end cell row blank equals cell fraction numerator 36 plus 9 square root of 7 over denominator negative 33 end fraction end cell row blank equals cell fraction numerator 12 plus 3 square root of 7 over denominator negative 11 end fraction end cell row cell fraction numerator 9 over denominator 4 minus square root of 7 end fraction end cell equals cell negative 1 over 11 open parentheses 12 plus 3 square root of 7 close parentheses end cell end table end style 

Jadi, diperoleh begin mathsize 14px style fraction numerator 9 over denominator 4 minus square root of 7 end fraction equals negative 1 over 11 left parenthesis 12 plus 3 square root of 7 right parenthesis end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 14 Maret 2021

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