8/15*3/2+sqrt{2/3}*sqrt{2/3}= eching

$$\frac { 8 } { 15 } \cdot \frac { 3 } { 2 } + \sqrt { \frac { 2 } { 3 } } \cdot \sqrt { \frac { 2 } { 3 } } =$$

Baholash

$$\frac{22}{15}\approx 1,466666667$$

Yechim qadamlari

\frac{2}{3} hosil qilish uchun \sqrt{\frac{2}{3}} va \sqrt{\frac{2}{3}} ni ko'paytirish.

$$\frac{8}{15}\times \frac{3}{2}+\frac{2}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{8}{15} ni \frac{3}{2} ga ko‘paytiring.

$$\frac{8\times 3}{15\times 2}+\frac{2}{3}$$

\frac{8\times 3}{15\times 2} kasridagi ko‘paytirishlarni bajaring.

$$\frac{24}{30}+\frac{2}{3}$$

\frac{24}{30} ulushini 6 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{4}{5}+\frac{2}{3}$$

5 va 3 ning eng kichik umumiy karralisi 15 ga teng. \frac{4}{5} va \frac{2}{3} ni 15 maxraj bilan kasrlarga aylantirib oling.

$$\frac{12}{15}+\frac{10}{15}$$

\frac{12}{15} va \frac{10}{15} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{12+10}{15}$$

22 olish uchun 12 va 10'ni qo'shing.

$$\frac{22}{15}$$

Omil

$$\frac{2 \cdot 11}{3 \cdot 5} = 1\frac{7}{15} = 1,4666666666666666$$