frac{sqrt{5}}{36}*6^2/3*5= eching

$$\frac { \sqrt { 5 } } { 36 } \times \frac { 6 ^ { 2 } } { 3 \cdot 5 } =$$

Baholash

$$\frac{\sqrt{5}}{15}\approx 0,149071198$$

Yechim qadamlari

2 daraja ko‘rsatkichini 6 ga hisoblang va 36 ni qiymatni oling.

$$\frac{\sqrt{5}}{36}\times \frac{36}{3\times 5}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{\sqrt{5}}{36}\times \frac{36}{15}$$

\frac{36}{15} ulushini 3 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{\sqrt{5}}{36}\times \frac{12}{5}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{\sqrt{5}}{36} ni \frac{12}{5} ga ko‘paytiring.

$$\frac{\sqrt{5}\times 12}{36\times 5}$$

Surat va maxrajdagi ikkala 12 ni qisqartiring.

$$\frac{\sqrt{5}}{3\times 5}$$

15 hosil qilish uchun 3 va 5 ni ko'paytirish.

$$\frac{\sqrt{5}}{15}$$