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

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

Evaluate

$$\frac{\sqrt{5}}{5}-2\approx -1.552786405$$

Short Solution Steps

Add 0 and 5 to get 5.

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

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

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

The square of \sqrt{5} is 5.

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

Multiply 4 and 0 to get 0.

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

Add 0 and 2 to get 2.

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

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, subtract them by subtracting their numerators.

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

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

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