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

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

Luacháil

$$\frac{627\sqrt{10}}{5}+192.246550222165609\approx 588.796168807$$

Céimeanna Réitigh

Evaluate trigonometric functions in the problem

$$99 \cdot 19 \sqrt{2} / 9 {(\frac{2}{100} 5 \sqrt{5})} 6 - 5 + 2 \cdot 99 \cdot 0.9961946980917455$$

Méadaigh 19 agus 99 chun 1881 a fháil.

$$6\times \frac{1881\sqrt{2}}{9}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Roinn 1881\sqrt{2} faoi 9 chun 209\sqrt{2} a fháil.

$$6\times 209\sqrt{2}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Méadaigh 6 agus 209 chun 1254 a fháil.

$$1254\sqrt{2}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Méadaigh 1254 agus 5 chun 6270 a fháil.

$$6270\sqrt{2}\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Laghdaigh an codán \frac{2}{100} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

$$6270\sqrt{2}\times \frac{1}{50}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Méadaigh 6270 agus \frac{1}{50} chun \frac{6270}{50} a fháil.

$$\frac{6270}{50}\sqrt{2}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Laghdaigh an codán \frac{6270}{50} chuig na téarmaí is ísle trí 10 a bhaint agus a chealú.

$$\frac{627}{5}\sqrt{2}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Iolraigh na huimhreacha faoin bhfréamh cearnach chun \sqrt{2} agus \sqrt{5} a iolrú.

$$\frac{627}{5}\sqrt{10}-5+2\times 99\times 0.9961946980917455$$

Méadaigh 2 agus 99 chun 198 a fháil.

$$\frac{627}{5}\sqrt{10}-5+198\times 0.9961946980917455$$

Méadaigh 198 agus 0.9961946980917455 chun 197.246550222165609 a fháil.

$$\frac{627}{5}\sqrt{10}-5+197.246550222165609$$

Suimigh -5 agus 197.246550222165609 chun 192.246550222165609 a fháil.

$$\frac{627}{5}\sqrt{10}+192.246550222165609$$

Fachtóirigh

$$\frac{125400000000000000 \sqrt{10} + 192246550222165609}{1000000000000000} = 588\frac{796168807280384}{1000000000000000} = 588.7961688072804$$