Baholash
2\left(\sqrt{5}-2\right)\approx 0,472135955
Baham ko'rish
Klipbordga nusxa olish
\frac{2\left(\sqrt{5}-2\right)}{\left(\sqrt{5}+2\right)\left(\sqrt{5}-2\right)}
\frac{2}{\sqrt{5}+2} maxrajini \sqrt{5}-2 orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{2\left(\sqrt{5}-2\right)}{\left(\sqrt{5}\right)^{2}-2^{2}}
Hisoblang: \left(\sqrt{5}+2\right)\left(\sqrt{5}-2\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{2\left(\sqrt{5}-2\right)}{5-4}
\sqrt{5} kvadratini chiqarish. 2 kvadratini chiqarish.
\frac{2\left(\sqrt{5}-2\right)}{1}
1 olish uchun 5 dan 4 ni ayirish.
2\left(\sqrt{5}-2\right)
Har qanday son birga bo‘linganda, natija o‘zi chiqadi.
2\sqrt{5}-4
2 ga \sqrt{5}-2 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometriya
4 \sin \theta \cos \theta = 2 \sin \theta
Chiziqli tenglama
y = 3x + 4
Arifmetik
699 * 533
Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differensatsiya
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Oʻngga
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Chegaralar
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}