Solve 2^0-2/sqrt{3}

$$2 ^ { 0 } - \frac { 2 } { \sqrt { 3 } }$$

Evaluate

$$-\frac{2\sqrt{3}}{3}+1\approx -0.154700538$$

Short Solution Steps

Calculate 2 to the power of 0 and get 1.

$$1-\frac{2}{\sqrt{3}}$$

Rationalize the denominator of \frac{2}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

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

The square of \sqrt{3} is 3.

$$1-\frac{2\sqrt{3}}{3}$$

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

$$\frac{3}{3}-\frac{2\sqrt{3}}{3}$$

Since \frac{3}{3} and \frac{2\sqrt{3}}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2\sqrt{3}}{3}$$