Baholash
5\left(\sqrt{3}-\sqrt{2}\right)\approx 1,589186226
Baham ko'rish
Klipbordga nusxa olish
\frac{5\left(\sqrt{2}-\sqrt{3}\right)}{\left(\sqrt{2}+\sqrt{3}\right)\left(\sqrt{2}-\sqrt{3}\right)}
\frac{5}{\sqrt{2}+\sqrt{3}} maxrajini \sqrt{2}-\sqrt{3} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.
\frac{5\left(\sqrt{2}-\sqrt{3}\right)}{\left(\sqrt{2}\right)^{2}-\left(\sqrt{3}\right)^{2}}
Hisoblang: \left(\sqrt{2}+\sqrt{3}\right)\left(\sqrt{2}-\sqrt{3}\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{5\left(\sqrt{2}-\sqrt{3}\right)}{2-3}
\sqrt{2} kvadratini chiqarish. \sqrt{3} kvadratini chiqarish.
\frac{5\left(\sqrt{2}-\sqrt{3}\right)}{-1}
-1 olish uchun 2 dan 3 ni ayirish.
-5\left(\sqrt{2}-\sqrt{3}\right)
Istalgan sonni -1 ga boʻlsangiz, uning qarama-qarshisi chiqadi.
-5\sqrt{2}+5\sqrt{3}
-5 ga \sqrt{2}-\sqrt{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.
Misollar
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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
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Chegaralar
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