Baholash
-\frac{\sqrt{15}}{15}+\frac{1}{4}\approx -0,00819889
Baham ko'rish
Klipbordga nusxa olish
\frac{\left(\sqrt{15}-4\right)\sqrt{15}}{4\left(\sqrt{15}\right)^{2}}
\frac{\sqrt{15}-4}{4\sqrt{15}} maxrajini \sqrt{15} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{\left(\sqrt{15}-4\right)\sqrt{15}}{4\times 15}
\sqrt{15} kvadrati – 15.
\frac{\left(\sqrt{15}-4\right)\sqrt{15}}{60}
60 hosil qilish uchun 4 va 15 ni ko'paytirish.
\frac{\left(\sqrt{15}\right)^{2}-4\sqrt{15}}{60}
\sqrt{15}-4 ga \sqrt{15} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
\frac{15-4\sqrt{15}}{60}
\sqrt{15} kvadrati – 15.
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}