314*15*15*60div360-225*frac{sqrt{3}}{4}*1/720 eching

$$314 \times 15 \times 15 \times 60 \div 360-225 \times \frac{ \sqrt{ 3 } }{ 4 } \times \frac{ 1 }{ 720 }$$

Baholash

$$-\frac{5\sqrt{3}}{64}+11775\approx 11774,864683531$$

Qisqa yechim qadamlari

4710 hosil qilish uchun 314 va 15 ni ko'paytirish.

$$\frac{4710\times 15\times 60}{360}-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

70650 hosil qilish uchun 4710 va 15 ni ko'paytirish.

$$\frac{70650\times 60}{360}-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

4239000 hosil qilish uchun 70650 va 60 ni ko'paytirish.

$$\frac{4239000}{360}-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

11775 ni olish uchun 4239000 ni 360 ga bo‘ling.

$$11775-225\times \frac{\sqrt{3}}{4}\times \frac{1}{720}$$

\frac{225}{720} hosil qilish uchun 225 va \frac{1}{720} ni ko'paytirish.

$$11775-\frac{225}{720}\times \frac{\sqrt{3}}{4}$$

\frac{225}{720} ulushini 45 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$11775-\frac{5}{16}\times \frac{\sqrt{3}}{4}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{5}{16} ni \frac{\sqrt{3}}{4} ga ko‘paytiring.

$$11775-\frac{5\sqrt{3}}{16\times 4}$$

64 hosil qilish uchun 16 va 4 ni ko'paytirish.

$$11775-\frac{5\sqrt{3}}{64}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 11775 ni \frac{64}{64} marotabaga ko'paytirish.

$$\frac{11775\times 64}{64}-\frac{5\sqrt{3}}{64}$$

\frac{11775\times 64}{64} va \frac{5\sqrt{3}}{64} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{11775\times 64-5\sqrt{3}}{64}$$

11775\times 64-5\sqrt{3} ichidagi ko‘paytirishlarni bajaring.

$$\frac{753600-5\sqrt{3}}{64}$$

Omil

$$\frac{5 {(150720 - \sqrt{3})}}{64} = 11774,864683530659$$