1/5+2/391/9-sqrt{1/3}*sqrt{frac{1}{3}} eching

$$\frac{ 1 }{ 5 } + \frac{ 2 }{ 3 } 9 \frac{ 1 }{ 9 } - \sqrt{ \frac{ 1 }{ 3 } } \times \sqrt{ \frac{ 1 }{ 3 } }$$

Baholash

$$\frac{802}{135}\approx 5,940740741$$

Yechim qadamlari

\frac{1}{3} hosil qilish uchun \sqrt{\frac{1}{3}} va \sqrt{\frac{1}{3}} ni ko'paytirish.

$$\frac{1}{5}+\frac{2}{3}\times \frac{9\times 9+1}{9}-\frac{1}{3}$$

81 hosil qilish uchun 9 va 9 ni ko'paytirish.

$$\frac{1}{5}+\frac{2}{3}\times \frac{81+1}{9}-\frac{1}{3}$$

82 olish uchun 81 va 1'ni qo'shing.

$$\frac{1}{5}+\frac{2}{3}\times \frac{82}{9}-\frac{1}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{3} ni \frac{82}{9} ga ko‘paytiring.

$$\frac{1}{5}+\frac{2\times 82}{3\times 9}-\frac{1}{3}$$

\frac{2\times 82}{3\times 9} kasridagi ko‘paytirishlarni bajaring.

$$\frac{1}{5}+\frac{164}{27}-\frac{1}{3}$$

5 va 27 ning eng kichik umumiy karralisi 135 ga teng. \frac{1}{5} va \frac{164}{27} ni 135 maxraj bilan kasrlarga aylantirib oling.

$$\frac{27}{135}+\frac{820}{135}-\frac{1}{3}$$

\frac{27}{135} va \frac{820}{135} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{27+820}{135}-\frac{1}{3}$$

847 olish uchun 27 va 820'ni qo'shing.

$$\frac{847}{135}-\frac{1}{3}$$

135 va 3 ning eng kichik umumiy karralisi 135 ga teng. \frac{847}{135} va \frac{1}{3} ni 135 maxraj bilan kasrlarga aylantirib oling.

$$\frac{847}{135}-\frac{45}{135}$$

\frac{847}{135} va \frac{45}{135} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{847-45}{135}$$

802 olish uchun 847 dan 45 ni ayirish.

$$\frac{802}{135}$$

Omil

$$\frac{2 \cdot 401}{3 ^ {3} \cdot 5} = 5\frac{127}{135} = 5,940740740740741$$