Solve 1-(1*1/sqrt{3})

$$1 - ( 1 \times \frac { 1 } { \sqrt { 3 } } )$$

Evaluate

$$-\frac{\sqrt{3}}{3}+1\approx 0.422649731$$

Short Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$1-1\times \frac{\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$1-1\times \frac{\sqrt{3}}{3}$$

Express 1\times \frac{\sqrt{3}}{3} as a single fraction.

$$1-\frac{\sqrt{3}}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{3}{3}.

$$\frac{3}{3}-\frac{\sqrt{3}}{3}$$

Since \frac{3}{3} and \frac{\sqrt{3}}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-\sqrt{3}}{3}$$