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

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

Calcular

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

Pasos da solución

Evaluate trigonometric functions in the problem

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

Multiplica 19 e 99 para obter 1881.

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

Divide 1881\sqrt{2} entre 9 para obter 209\sqrt{2}.

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

Multiplica 6 e 209 para obter 1254.

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

Multiplica 1254 e 5 para obter 6270.

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

Reduce a fracción \frac{2}{100} a termos máis baixos extraendo e cancelando 2.

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

Multiplica 6270 e \frac{1}{50} para obter \frac{6270}{50}.

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

Reduce a fracción \frac{6270}{50} a termos máis baixos extraendo e cancelando 10.

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

Para multiplicar \sqrt{2} e \sqrt{5}, multiplica os números baixo a raíz cadrada.

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

Multiplica 2 e 99 para obter 198.

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

Multiplica 198 e 0.9961946980917455 para obter 197.246550222165609.

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

Suma -5 e 197.246550222165609 para obter 192.246550222165609.

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

Factorizar

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