Lutasin ang 2sqrt{6}-frac{sqrt{2}}{2}-frac{sqrt{2}}{4}+sqrt{6}

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

I-evaluate

$$-\frac{3\sqrt{2}}{4}+3\sqrt{6}\approx 6.287809057$$

Mga Hakbang ng Solution

Pagsamahin ang -\frac{\sqrt{2}}{2} at -\frac{\sqrt{2}}{4} para makuha ang -\frac{3}{4}\sqrt{2}.

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

Pagsamahin ang 2\sqrt{6} at \sqrt{6} para makuha ang 3\sqrt{6}.

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

I-factor

$$\frac{3 {(4 \sqrt{6} - \sqrt{2})}}{4} = 6.287809056569712$$