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

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

Evaluate

$$\frac{3a^{2}}{2}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

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

Combine \sqrt{3} and 2\sqrt{3} to get 3\sqrt{3}.

$$\frac{3\sqrt{3}a^{2}}{2\sqrt{3}}$$

Cancel out \sqrt{3} in both numerator and denominator.

$$\frac{3a^{2}}{2}$$

Differentiate w.r.t. a

$$3a$$