Resol 2sqrt{6}-frac{sqrt{2}}{2}-frac{sqrt{2}}{4}+sqrt{6}

$$2 \sqrt { 6 } - \frac { \sqrt { 2 } } { 2 } - \frac { \sqrt { 2 } } { 4 } + \sqrt { 6 }$$

Calcula

$$-\frac{3\sqrt{2}}{4}+3\sqrt{6}\approx 6,287809057$$

Passos de solució

Combineu -\frac{\sqrt{2}}{2} i -\frac{\sqrt{2}}{4} per obtenir -\frac{3}{4}\sqrt{2}.

$$2\sqrt{6}-\frac{3}{4}\sqrt{2}+\sqrt{6}$$

Combineu 2\sqrt{6} i \sqrt{6} per obtenir 3\sqrt{6}.

$$3\sqrt{6}-\frac{3}{4}\sqrt{2}$$

Factoritzar

$$\frac{3 {(4 \sqrt{6} - \sqrt{2})}}{4} = 6,287809056569712$$