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

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

Evaluate

$$\frac{627\sqrt{10}}{50}+192.246550222165609\approx 231.901512081$$

Solution Steps

Evaluate trigonometric functions in the problem

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

Multiply 19 and 99 to get 1881.

$$6\times \frac{1881\sqrt{2}}{9}\times 0.5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Divide 1881\sqrt{2} by 9 to get 209\sqrt{2}.

$$6\times 209\sqrt{2}\times 0.5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Multiply 6 and 209 to get 1254.

$$1254\sqrt{2}\times 0.5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Multiply 1254 and 0.5 to get 627.

$$627\sqrt{2}\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$627\sqrt{2}\times \frac{1}{50}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Multiply 627 and \frac{1}{50} to get \frac{627}{50}.

$$\frac{627}{50}\sqrt{2}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

To multiply \sqrt{2} and \sqrt{5}, multiply the numbers under the square root.

$$\frac{627}{50}\sqrt{10}-5+2\times 99\times 0.9961946980917455$$

Multiply 2 and 99 to get 198.

$$\frac{627}{50}\sqrt{10}-5+198\times 0.9961946980917455$$

Multiply 198 and 0.9961946980917455 to get 197.246550222165609.

$$\frac{627}{50}\sqrt{10}-5+197.246550222165609$$

Add -5 and 197.246550222165609 to get 192.246550222165609.

$$\frac{627}{50}\sqrt{10}+192.246550222165609$$

Factor

$$\frac{12540000000000000 \sqrt{10} + 192246550222165609}{1000000000000000} = 231\frac{901512080677088}{1000000000000000} = 231.9015120806771$$