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

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

Ovrednoti

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

Koraki rešitve

Evaluate trigonometric functions in the problem

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

Pomnožite 19 in 99, da dobite 1881.

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

Delite 1881\sqrt{2} s/z 9, da dobite 209\sqrt{2}.

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

Pomnožite 6 in 209, da dobite 1254.

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

Pomnožite 1254 in 5, da dobite 6270.

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

Zmanjšajte ulomek \frac{2}{100} na najmanjši imenovalec tako, da izpeljete in okrajšate 2.

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

Pomnožite 6270 in \frac{1}{50}, da dobite \frac{6270}{50}.

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

Zmanjšajte ulomek \frac{6270}{50} na najmanjši imenovalec tako, da izpeljete in okrajšate 10.

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

Če želite \sqrt{2} pomnožite in \sqrt{5}, pomnožite številke v kvadratni korenu.

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

Pomnožite 2 in 99, da dobite 198.

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

Pomnožite 198 in 0,9961946980917455, da dobite 197,246550222165609.

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

Seštejte -5 in 197,246550222165609, da dobite 192,246550222165609.

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

Faktoriziraj

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