Đại số lớp 9 : rút gọn biểu thức ( hay, khó )

H

hien_vuthithanh

$\dfrac{\sqrt{3}}{\sqrt{\sqrt{3}+1}-1} - \dfrac{\sqrt{3}}{\sqrt{\sqrt{3}-1}+1}$

=$\sqrt{3} . \dfrac{\sqrt{\sqrt{3}-1} + 1 - \sqrt{\sqrt{3}+1}+1}{(\sqrt{\sqrt{3}+1}-1)(\sqrt{\sqrt{3}-1}+1) }$

=$\sqrt{3} . \dfrac{\sqrt{\sqrt{3}+1} -{\sqrt{\sqrt{3}-1}}+2 }{\sqrt{3}}$

= $\sqrt{\sqrt{3}+1} -{\sqrt{\sqrt{3}-1}} +2$
 
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