Bentuk sederhana dari 1 per 2 akar 72 - 1 per 3 akar 8 + 1 per 4 akar 2 adalah...
Matematika
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Pertanyaan
Bentuk sederhana dari 1 per 2 akar 72 - 1 per 3 akar 8 + 1 per 4 akar 2 adalah...
2 Jawaban
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1. Jawaban MDT
=√72/2-√8/3+√2/4
=(√36×2)/2-(√2×4)/3+(√2)/4
=(6√6)/2-(2√2)/3+(√2)/4
={(36√6)-(8√2)+(√2)}/12
=(29√2)/12 -
2. Jawaban Takamori37
[tex]\displaystyle \frac{1}{2\sqrt{72}}-\frac{1}{3\sqrt{8}}+\frac{1}{4\sqrt{2}} \\ \frac{1}{2.6\sqrt{2}}-\frac{1}{3.2\sqrt{2}}+\frac{1}{4\sqrt{2}}=\frac{1}{12\sqrt{2}}-\frac{1}{6\sqrt{2}}+\frac{1}{4\sqrt{2}} \\ \frac{1-2+3}{12\sqrt{2}}=\frac{2}{12\sqrt{2}}=\frac{1}{6\sqrt{2}} \\ \frac{1}{6\sqrt{2}}\times\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{12}=\frac{1}{12}\sqrt{2}[/tex]