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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: Rút gọn biểu thức ($\frac{1}{ 3-√5}$+ $\frac{1}{3+√5}$ ) ÷ $\frac{5-√5}{√5-1}$

Toán Lớp 9: Rút gọn biểu thức
($\frac{1}{ 3-√5}$+ $\frac{1}{3+√5}$ ) ÷ $\frac{5-√5}{√5-1}$

Comments ( 2 )

  1. (1/(3-\sqrt{5})+1/(3+\sqrt{5})):(5-\sqrt{5})/(\sqrt{5}-1)
    =((1(3+\sqrt{5}))/((3-\sqrt{5})(3+\sqrt{5}))+(1(3-\sqrt{5}))/((3+\sqrt{5})(3-\sqrt{5}))):(\sqrt{5}(\sqrt{5}-1))/(\sqrt{5}-1)
    =((3+\sqrt{5})/(4)+(3-\sqrt{5})/(4)).(\sqrt{5}-1)/(\sqrt{5}(\sqrt{5}-1))
    =(3+\sqrt{5}+3-\sqrt{5})/(4).(1)/(\sqrt{5})
    =(6)/(4).(1)/(\sqrt{5})
    =(6.1)/(4.\sqrt{5})
    =3/(2\sqrt{5})
    =(3\sqrt{5})/(2\sqrt{5}\sqrt{5})
    =(3\sqrt{5})/(2.5)
    =(3\sqrt{5})/(10)
     

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222-9+11+12:2*14+14 = ? ( )