Solve d/12sqrt{3}

$$\frac { d } { 12 \sqrt { 3 } }$$

Evaluate

$$\frac{\sqrt{3}d}{36}$$

Solution Steps

Rationalize the denominator of \frac{d}{12\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{d\sqrt{3}}{12\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{d\sqrt{3}}{12\times 3}$$

Multiply 12 and 3 to get 36.

$$\frac{d\sqrt{3}}{36}$$

Differentiate w.r.t. d

$$\frac{\sqrt{3}}{36} = 0.04811252243246881$$