Jika m= 3-2 akar3 : 1+ akar 3 , nilam 4m adalah.... Question from @cacaade24

October 2018 2 46 Report

Jika m= 3-2 akar3 : 1+ akar 3 , nilam 4m adalah

hunaifib M=³√1 +√3

4m=4(1+√3)
=4+4√3

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Takamori37 Solusi.
$$\begin{align}4m&=4\left[\frac{3-2\sqrt{3}}{1+\sqrt{3}}\right] \\ &=\frac{4(3-2\sqrt{3})}{\sqrt{3}+1} \\ &=\frac{4(3-2\sqrt{3})}{\sqrt{3}+1}\times\frac{\sqrt{3}-1}{\sqrt{3}-1} \\ &=\frac{4(3\sqrt{3}-3-6+2\sqrt{3})}{3-1^2} \\ &=\frac{4(5\sqrt{3}-9)}{2} \\ &=2(5\sqrt{3}-9)=10\sqrt{3}-18\end{align}$
Apabila tidak nampak, terdapat pada lampiran.

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