Solve frac{sqrt{2}}{20}-360+820

$$\frac{ \sqrt{ 2 } }{ 20 } -360+820$$

Evaluate

$$\frac{\sqrt{2}}{20}+460\approx 460.070710678$$

Short Solution Steps

Add -360 and 820 to get 460.

$$\frac{\sqrt{2}}{20}+460$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 460 times \frac{20}{20}.

$$\frac{\sqrt{2}}{20}+\frac{460\times 20}{20}$$

Since \frac{\sqrt{2}}{20} and \frac{460\times 20}{20} have the same denominator, add them by adding their numerators.

$$\frac{\sqrt{2}+460\times 20}{20}$$

Do the multiplications in \sqrt{2}+460\times 20.

$$\frac{\sqrt{2}+9200}{20}$$

Factor

$$\frac{\sqrt{2} + 9200}{20} = 460.07071067811864$$