Pertanyaan

bentuk sederhana dari 2 + 3 4 2 + 8 adalah ....

bentuk sederhana dari $\frac{4 ^{2} + 8}{2 + 3}$ adalah ....

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Klaim

Y. Maghfirah

Master Teacher

Jawaban terverifikasi

Jawaban

$begin mathsize 14px style fraction numerator 4 squared plus 8 over denominator square root of 2 plus square root of 3 end fraction equals 24 square root of 3 minus 24 square root of 2 end style$

Pembahasan

Jadi

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 4 squared plus 8 over denominator square root of 2 plus square root of 3 end fraction end cell equals cell fraction numerator 16 plus 8 over denominator square root of 3 plus square root of 2 end fraction end cell row blank equals cell fraction numerator 24 over denominator square root of 3 plus square root of 2 end fraction end cell row blank equals cell fraction numerator 24 over denominator square root of 3 plus square root of 2 end fraction cross times fraction numerator square root of 3 minus square root of 2 over denominator square root of 3 minus square root of 2 end fraction end cell row blank equals cell fraction numerator 24 left parenthesis square root of 3 minus square root of 2 right parenthesis over denominator open parentheses square root of 3 close parentheses squared minus open parentheses square root of 2 close parentheses squared end fraction end cell row blank equals cell fraction numerator 24 square root of 3 minus 24 square root of 2 over denominator 3 minus 2 end fraction end cell row blank equals cell fraction numerator 24 square root of 3 minus 24 square root of 2 over denominator 1 end fraction end cell row blank equals cell 24 square root of 3 minus 24 square root of 2 end cell end table end style$

Jadi $begin mathsize 14px style fraction numerator 4 squared plus 8 over denominator square root of 2 plus square root of 3 end fraction equals 24 square root of 3 minus 24 square root of 2 end style$