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

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

Arvuta

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

Lahenduse etapid

Evaluate trigonometric functions in the problem

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

Korrutage 19 ja 99, et leida 1881.

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

Jagage 1881\sqrt{2} väärtusega 9, et leida 209\sqrt{2}.

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

Korrutage 6 ja 209, et leida 1254.

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

Korrutage 1254 ja 5, et leida 6270.

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

Taandage murd \frac{2}{100} vähimale ühiskordsele, eraldades ja taandades arvu 2.

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

Korrutage 6270 ja \frac{1}{50}, et leida \frac{6270}{50}.

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

Taandage murd \frac{6270}{50} vähimale ühiskordsele, eraldades ja taandades arvu 10.

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

\sqrt{2} ja \sqrt{5} korrutage numbrid, mis on sama juur.

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

Korrutage 2 ja 99, et leida 198.

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

Korrutage 198 ja 0,9961946980917455, et leida 197,246550222165609.

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

Liitke -5 ja 197,246550222165609, et leida 192,246550222165609.

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

Lahuta teguriteks

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