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

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

I-evaluate

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

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

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

I-multiply ang 19 at 99 para makuha ang 1881.

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

I-divide ang 1881\sqrt{2} gamit ang 9 para makuha ang 209\sqrt{2}.

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

I-multiply ang 6 at 209 para makuha ang 1254.

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

I-multiply ang 1254 at 5 para makuha ang 6270.

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

Bawasan ang fraction \frac{2}{100} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

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

I-multiply ang 6270 at \frac{1}{50} para makuha ang \frac{6270}{50}.

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

Bawasan ang fraction \frac{6270}{50} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 10.

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

Para i-multiply ang \sqrt{2} at \sqrt{5}, i-multiply ang mga numero sa ilalim ng square root.

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

I-multiply ang 2 at 99 para makuha ang 198.

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

I-multiply ang 198 at 0.9961946980917455 para makuha ang 197.246550222165609.

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

Idagdag ang -5 at 197.246550222165609 para makuha ang 192.246550222165609.

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

I-factor

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