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

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

Evaluate

$$\frac{627\sqrt{10}}{50}-3\approx 36.654961859$$

Solution Steps

Multiply 19 and 99 to get 1881.

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

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

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

Multiply 6 and 209 to get 1254.

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

Multiply 1254 and 0.5 to get 627.

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

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

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

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

$$\frac{627}{50}\sqrt{2}\sqrt{5}-5+2!$$

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

$$\frac{627}{50}\sqrt{10}-5+2!$$

The factorial of 2 is 2.

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

Add -5 and 2 to get -3.

$$\frac{627}{50}\sqrt{10}-3$$

Factor

$$\frac{3 {(209 \sqrt{10} - 50)}}{50} = 36.65496185851148$$