Issolvi 2sqrt{6}+frac{sqrt{2}}{2}-frac{sqrt{3}}{2}

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

Evalwa

$$\frac{\sqrt{2}+4\sqrt{6}-\sqrt{3}}{2}\approx 4.740060863$$

Passi Qosra tas-Soluzzjonijiet

Biex iżżid jew tnaqqas l-espressjonijiet, espandihom biex id-denominaturi tagħhom ikunu l-istess. Immultiplika 2\sqrt{6} b'\frac{2}{2}.

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

Billi \frac{2\times 2\sqrt{6}}{2} u \frac{\sqrt{2}}{2} għandhom l-istess denominatur, żidhom billi żżid in-numeraturi tagħhom.

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

Agħmel il-multiplikazzjonijiet fi 2\times 2\sqrt{6}+\sqrt{2}.

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

Billi \frac{4\sqrt{6}+\sqrt{2}}{2} u \frac{\sqrt{3}}{2} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

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

Fattur

$$\frac{\sqrt{2} + 4 \sqrt{6} - \sqrt{3}}{2} = 4.740060862968465$$