Baholash
\frac{3\sqrt{5}+5}{4}\approx 2,927050983
Baham ko'rish
Klipbordga nusxa olish
\frac{\sqrt{5}\left(3+\sqrt{5}\right)}{\left(3-\sqrt{5}\right)\left(3+\sqrt{5}\right)}
\frac{\sqrt{5}}{3-\sqrt{5}} maxrajini 3+\sqrt{5} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{\sqrt{5}\left(3+\sqrt{5}\right)}{3^{2}-\left(\sqrt{5}\right)^{2}}
Hisoblang: \left(3-\sqrt{5}\right)\left(3+\sqrt{5}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{\sqrt{5}\left(3+\sqrt{5}\right)}{9-5}
3 kvadratini chiqarish. \sqrt{5} kvadratini chiqarish.
\frac{\sqrt{5}\left(3+\sqrt{5}\right)}{4}
4 olish uchun 9 dan 5 ni ayirish.
\frac{3\sqrt{5}+\left(\sqrt{5}\right)^{2}}{4}
\sqrt{5} ga 3+\sqrt{5} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{3\sqrt{5}+5}{4}
\sqrt{5} kvadrati – 5.
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}