Nilai dari 5+122−5−1218=...

Pertanyaan

Nilai dari $fraction numerator square root of 2 over denominator 5 plus square root of 12 end fraction minus fraction numerator square root of 18 over denominator 5 minus square root of 12 end fraction equals...$ $\;$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 2 over denominator 5 plus square root of 12 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 18 over denominator 5 minus square root of 12 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 10 square root of 2 minus 8 square root of 6 over denominator 13 end fraction end cell end table$ .

Pembahasan

Jika terdapat operasi penjumlahan atau pengurangan, maka kita harus menyamakan semua penyebut pada pecahan tersebut.

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 2 over denominator 5 plus square root of 12 end fraction minus fraction numerator square root of 18 over denominator 5 minus square root of 12 end fraction end cell row blank equals cell fraction numerator square root of 2 open parentheses 5 minus square root of 12 close parentheses minus square root of 18 open parentheses 5 plus square root of 12 close parentheses over denominator open parentheses 5 plus square root of 12 close parentheses open parentheses 5 minus square root of 12 close parentheses end fraction end cell row blank equals cell fraction numerator 5 square root of 2 minus square root of 24 minus 5 square root of 18 minus square root of 216 over denominator 25 minus 12 end fraction end cell row blank equals cell fraction numerator 5 square root of 2 minus square root of 4 times 6 end root minus 5 square root of 9 times 2 end root minus square root of 36 times 6 end root over denominator 13 end fraction end cell row blank equals cell fraction numerator 5 square root of 2 minus 2 square root of 6 minus 5 times 3 square root of 2 minus 6 square root of 6 over denominator 13 end fraction end cell row blank equals cell fraction numerator open parentheses 5 minus 15 close parentheses square root of 2 minus open parentheses 2 plus 6 close parentheses square root of 6 over denominator 13 end fraction end cell row blank equals cell fraction numerator negative 10 square root of 2 minus 8 square root of 6 over denominator 13 end fraction end cell end table$

Jadi, $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 2 over denominator 5 plus square root of 12 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator square root of 18 over denominator 5 minus square root of 12 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 10 square root of 2 minus 8 square root of 6 over denominator 13 end fraction end cell end table$ .

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