Pertanyaan

[UN 2014] Bentuk sederhana dari 3 2 − 2 3 12 adalah...

[UN 2014]

Bentuk sederhana dari $\frac{12}{3 2 - 2 3}$ adalah...

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A. Acfreelance

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$fraction numerator 12 over denominator 3 square root of 2 minus 2 square root of 3 end fraction equals fraction numerator 12 over denominator 3 square root of 2 minus 2 square root of 3 end fraction cross times fraction numerator 3 square root of 2 plus 2 square root of 3 over denominator 3 square root of 2 plus 2 square root of 3 end fraction equals fraction numerator 12 left parenthesis 3 square root of 2 plus 2 square root of 3 right parenthesis over denominator 18 minus 12 end fraction equals fraction numerator 12 left parenthesis 3 square root of 2 plus 2 square root of 3 right parenthesis over denominator 6 end fraction equals fraction numerator 12 left parenthesis 3 square root of 2 plus 2 square root of 3 right parenthesis over denominator 6 end fraction equals 2 left parenthesis 3 square root of 2 plus 2 square root of 3 right parenthesis equals 6 square root of 2 plus 4 square root of 3$