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

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

Calcular

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

Pasos da solución

Multiplica 2 e 2 para obter 4.

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

Multiplica 4 e 3 para obter 12.

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

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

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

Calcula 2 á potencia de 2 e obtén 4.

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

O cadrado de \sqrt{3} é 3.

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

Multiplica 4 e 3 para obter 12.

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

Anula o máximo común divisor 4 en 12 e 4.

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

Combina 12\sqrt{3} e 3\sqrt{3} para obter 15\sqrt{3}.

$$15\sqrt{3}$$