Toán Lớp 9: $\frac{6}{1-\sqrt{3}}$-$\frac{2\sqrt{3}}{2+\sqrt{3}}$
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Toán Lớp 9: $\frac{6}{1-\sqrt{3}}$-$\frac{2\sqrt{3}}{2+\sqrt{3}}$
Comments ( 2 )
=(6.(1+sqrt{3}))/((1-sqrt{3})(1+sqrt{3}))-(2sqrt{3}.(2-sqrt{3}))/((2+sqrt{3})(2-sqrt{3}))
=(2.3.(1+sqrt{3}))/(1-3)-(4sqrt{3}-6)/(4-3)
=(2.3.(1+sqrt{3}))/(-1 . 2)-(4sqrt{3}-6)/1
=-3.(1+sqrt{3})-4sqrt{3}+6
=-3-3sqrt{3}-4sqrt{3}+6
=3-7sqrt{3}