Baholash
\frac{4\left(\sqrt{3}+9\right)}{3}\approx 14,309401077
Omil
\frac{4 {(\sqrt{3} + 9)}}{3} = 14,309401076758503
Baham ko'rish
Klipbordga nusxa olish
12+\frac{4\sqrt{3}}{\left(\sqrt{3}\right)^{2}}
\frac{4}{\sqrt{3}} maxrajini \sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
12+\frac{4\sqrt{3}}{3}
\sqrt{3} kvadrati – 3.
\frac{12\times 3}{3}+\frac{4\sqrt{3}}{3}
Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 12 ni \frac{3}{3} marotabaga ko'paytirish.
\frac{12\times 3+4\sqrt{3}}{3}
\frac{12\times 3}{3} va \frac{4\sqrt{3}}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.
\frac{36+4\sqrt{3}}{3}
12\times 3+4\sqrt{3} ichidagi ko‘paytirishlarni bajaring.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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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}