99*19sqrt{2}div9(2%5sqrt{5})6-5+2*99cos(5) eching

$$99 \times 19 \sqrt{ 2 } \div 9(2 \% 5 \sqrt{ 5 } )6-5+2 \times 99 \cos ( 5 )$$

Baholash

$$\frac{627\sqrt{10}}{5}+192,246550222165609\approx 588,796168807$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$99 \cdot 19 \sqrt{2} / 9 {(\frac{2}{100} 5 \sqrt{5})} 6 - 5 + 2 \cdot 99 \cdot 0,9961946980917455$$

1881 hosil qilish uchun 19 va 99 ni ko'paytirish.

$$6\times \frac{1881\sqrt{2}}{9}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

209\sqrt{2} ni olish uchun 1881\sqrt{2} ni 9 ga bo‘ling.

$$6\times 209\sqrt{2}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

1254 hosil qilish uchun 6 va 209 ni ko'paytirish.

$$1254\sqrt{2}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

6270 hosil qilish uchun 1254 va 5 ni ko'paytirish.

$$6270\sqrt{2}\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

\frac{2}{100} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$6270\sqrt{2}\times \frac{1}{50}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

\frac{6270}{50} hosil qilish uchun 6270 va \frac{1}{50} ni ko'paytirish.

$$\frac{6270}{50}\sqrt{2}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

\frac{6270}{50} ulushini 10 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{627}{5}\sqrt{2}\sqrt{5}-5+2\times 99\times 0,9961946980917455$$

\sqrt{2} va \sqrt{5} ni koʻpaytirish uchun kvadrat ildiz ichidagi sonlarni koʻpaytiring.

$$\frac{627}{5}\sqrt{10}-5+2\times 99\times 0,9961946980917455$$

198 hosil qilish uchun 2 va 99 ni ko'paytirish.

$$\frac{627}{5}\sqrt{10}-5+198\times 0,9961946980917455$$

197,246550222165609 hosil qilish uchun 198 va 0,9961946980917455 ni ko'paytirish.

$$\frac{627}{5}\sqrt{10}-5+197,246550222165609$$

192,246550222165609 olish uchun -5 va 197,246550222165609'ni qo'shing.

$$\frac{627}{5}\sqrt{10}+192,246550222165609$$

Omil

$$\frac{125400000000000000 \sqrt{10} + 192246550222165609}{1000000000000000} = 588\frac{796168807280384}{1000000000000000} = 588,7961688072804$$