Issolvi 2sqrt{3}*2*3+frac{sqrt{3}}{4}*(2sqrt{3})^2

$$2 \sqrt { 3 } \times 2 \times 3 + \frac { \sqrt { 3 } } { 4 } \times ( 2 \sqrt { 3 } ) ^ { 2 }$$

Evalwa

$$15\sqrt{3}\approx 25.980762114$$

Passi tas-Soluzzjonijiet

Immultiplika 2 u 2 biex tikseb 4.

$$4\times 3\sqrt{3}+\frac{\sqrt{3}}{4}\times \left(2\sqrt{3}\right)^{2}$$

Immultiplika 4 u 3 biex tikseb 12.

$$12\sqrt{3}+\frac{\sqrt{3}}{4}\times \left(2\sqrt{3}\right)^{2}$$

Espandi \left(2\sqrt{3}\right)^{2}.

$$12\sqrt{3}+\frac{\sqrt{3}}{4}\times 2^{2}\left(\sqrt{3}\right)^{2}$$

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$12\sqrt{3}+\frac{\sqrt{3}}{4}\times 4\left(\sqrt{3}\right)^{2}$$

Il-kwadrat ta' \sqrt{3} huwa 3.

$$12\sqrt{3}+\frac{\sqrt{3}}{4}\times 4\times 3$$

Immultiplika 4 u 3 biex tikseb 12.

$$12\sqrt{3}+\frac{\sqrt{3}}{4}\times 12$$

Ikkanċella l-akbar fattur komuni 4 f'12 u 4.

$$12\sqrt{3}+3\sqrt{3}$$

Ikkombina 12\sqrt{3} u 3\sqrt{3} biex tikseb 15\sqrt{3}.

$$15\sqrt{3}$$