Solve 2*10+1/sqrt{5}

$$2 \times 10 + \frac { 1 } { \sqrt { 5 } }$$

Evaluate

$$\frac{\sqrt{5}}{5}+20\approx 20.447213595$$

Short Solution Steps

Multiply 2 and 10 to get 20.

$$20+\frac{1}{\sqrt{5}}$$

Rationalize the denominator of \frac{1}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$20+\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$20+\frac{\sqrt{5}}{5}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 20 times \frac{5}{5}.

$$\frac{20\times 5}{5}+\frac{\sqrt{5}}{5}$$

Since \frac{20\times 5}{5} and \frac{\sqrt{5}}{5} have the same denominator, add them by adding their numerators.

$$\frac{20\times 5+\sqrt{5}}{5}$$

Do the multiplications in 20\times 5+\sqrt{5}.

$$\frac{100+\sqrt{5}}{5}$$