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

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

Procijeni

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

Koraci za rješenje

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 i 99 da biste dobili 1881.

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

Podijelite 1881\sqrt{2} sa 9 da biste dobili 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 i 209 da biste dobili 1254.

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

Pomnožite 1254 i 5 da biste dobili 6270.

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

Svedite razlomak \frac{2}{100} na najprostije elemente rastavlјanjem i kraćenjem 2.

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

Pomnožite 6270 i \frac{1}{50} da biste dobili \frac{6270}{50}.

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

Svedite razlomak \frac{6270}{50} na najprostije elemente rastavlјanjem i kraćenjem 10.

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

Da biste pomnožili \sqrt{2} i \sqrt{5}, pomnožite brojeve u okviru kvadratnog korijena.

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

Pomnožite 2 i 99 da biste dobili 198.

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

Pomnožite 198 i 0,9961946980917455 da biste dobili 197,246550222165609.

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

Saberite -5 i 197,246550222165609 da biste dobili 192,246550222165609.

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

Faktor

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