Baholash
55-34\sqrt{2}\approx 6,916738879
Kengaytirish
55-34\sqrt{2}
Baham ko'rish
Klipbordga nusxa olish
25\left(\sqrt{2}\right)^{2}-40\sqrt{2}+16-\left(3-\sqrt{2}\right)^{2}
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(5\sqrt{2}-4\right)^{2} kengaytirilishi uchun ishlating.
25\times 2-40\sqrt{2}+16-\left(3-\sqrt{2}\right)^{2}
\sqrt{2} kvadrati – 2.
50-40\sqrt{2}+16-\left(3-\sqrt{2}\right)^{2}
50 hosil qilish uchun 25 va 2 ni ko'paytirish.
66-40\sqrt{2}-\left(3-\sqrt{2}\right)^{2}
66 olish uchun 50 va 16'ni qo'shing.
66-40\sqrt{2}-\left(9-6\sqrt{2}+\left(\sqrt{2}\right)^{2}\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(3-\sqrt{2}\right)^{2} kengaytirilishi uchun ishlating.
66-40\sqrt{2}-\left(9-6\sqrt{2}+2\right)
\sqrt{2} kvadrati – 2.
66-40\sqrt{2}-\left(11-6\sqrt{2}\right)
11 olish uchun 9 va 2'ni qo'shing.
66-40\sqrt{2}-11+6\sqrt{2}
11-6\sqrt{2} teskarisini topish uchun har birining teskarisini toping.
55-40\sqrt{2}+6\sqrt{2}
55 olish uchun 66 dan 11 ni ayirish.
55-34\sqrt{2}
-34\sqrt{2} ni olish uchun -40\sqrt{2} va 6\sqrt{2} ni birlashtirish.
25\left(\sqrt{2}\right)^{2}-40\sqrt{2}+16-\left(3-\sqrt{2}\right)^{2}
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(5\sqrt{2}-4\right)^{2} kengaytirilishi uchun ishlating.
25\times 2-40\sqrt{2}+16-\left(3-\sqrt{2}\right)^{2}
\sqrt{2} kvadrati – 2.
50-40\sqrt{2}+16-\left(3-\sqrt{2}\right)^{2}
50 hosil qilish uchun 25 va 2 ni ko'paytirish.
66-40\sqrt{2}-\left(3-\sqrt{2}\right)^{2}
66 olish uchun 50 va 16'ni qo'shing.
66-40\sqrt{2}-\left(9-6\sqrt{2}+\left(\sqrt{2}\right)^{2}\right)
\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(3-\sqrt{2}\right)^{2} kengaytirilishi uchun ishlating.
66-40\sqrt{2}-\left(9-6\sqrt{2}+2\right)
\sqrt{2} kvadrati – 2.
66-40\sqrt{2}-\left(11-6\sqrt{2}\right)
11 olish uchun 9 va 2'ni qo'shing.
66-40\sqrt{2}-11+6\sqrt{2}
11-6\sqrt{2} teskarisini topish uchun har birining teskarisini toping.
55-40\sqrt{2}+6\sqrt{2}
55 olish uchun 66 dan 11 ni ayirish.
55-34\sqrt{2}
-34\sqrt{2} ni olish uchun -40\sqrt{2} va 6\sqrt{2} ni birlashtirish.
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}