-2/3+5/2+sqrt{2} eching

$$\frac { - 2 } { 3 } + \frac { 5 } { 2 } + \sqrt { 2 }$$

Baholash

$$\sqrt{2}+\frac{11}{6}\approx 3,247546896$$

Yechim qadamlari

\frac{-2}{3} kasri manfiy belgini olib tashlash bilan -\frac{2}{3} sifatida qayta yozilishi mumkin.

$$-\frac{2}{3}+\frac{5}{2}+\sqrt{2}$$

3 va 2 ning eng kichik umumiy karralisi 6 ga teng. -\frac{2}{3} va \frac{5}{2} ni 6 maxraj bilan kasrlarga aylantirib oling.

$$-\frac{4}{6}+\frac{15}{6}+\sqrt{2}$$

-\frac{4}{6} va \frac{15}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{-4+15}{6}+\sqrt{2}$$

11 olish uchun -4 va 15'ni qo'shing.

$$\frac{11}{6}+\sqrt{2}$$

Omil

$$\frac{6 \sqrt{2} + 11}{6} = 3,2475468957064284$$