Solve 1/sqrt{(0)+5}-4(0)+2

$$\frac { 1 } { \sqrt { ( 0 ) + 5 } } - 4 ( 0 ) + 2$$

Evaluate

$$\frac{\sqrt{5}}{5}+2\approx 2.447213595$$

Short Solution Steps

Add 0 and 5 to get 5.

$$\frac{1}{\sqrt{5}}-4\times 0+2$$

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

$$\frac{\sqrt{5}}{\left(\sqrt{5}\right)^{2}}-4\times 0+2$$

The square of \sqrt{5} is 5.

$$\frac{\sqrt{5}}{5}-4\times 0+2$$

Multiply 4 and 0 to get 0.

$$\frac{\sqrt{5}}{5}-0+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 0 times \frac{5}{5}.

$$\frac{\sqrt{5}}{5}-\frac{0\times 5}{5}+2$$

Since \frac{\sqrt{5}}{5} and \frac{0\times 5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\sqrt{5}-0\times 5}{5}+2$$

Do the multiplications in \sqrt{5}-0\times 5.

$$\frac{\sqrt{5}}{5}+2$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{5}{5}.

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

Since \frac{\sqrt{5}}{5} and \frac{2\times 5}{5} have the same denominator, add them by adding their numerators.

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

Do the multiplications in \sqrt{5}+2\times 5.

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