Solve 2sqrt{2}-frac{sqrt{3}}{3}

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

Evaluate

$$-\frac{\sqrt{3}}{3}+2\sqrt{2}\approx 2.251076856$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 2\sqrt{2} times \frac{3}{3}.

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

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

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

Do the multiplications in 3\times 2\sqrt{2}-\sqrt{3}.

$$\frac{6\sqrt{2}-\sqrt{3}}{3}$$

Factor

$$\frac{6 \sqrt{2} - \sqrt{3}}{3} = 2.251076855556565$$