$$\left. \begin{array} { l } { z = \frac { 5 - \sqrt { 3 } } { 4 + 2 \sqrt { 3 } } } \\ { \text { h e r e r s c o m p l e r i e n u m b e r i n \right.$$
Solve for z
$z=\frac{13-7\sqrt{3}}{2}\approx 0.437822174$
Steps for Solving Linear Equation
Rationalize the denominator of $\frac{5-\sqrt{3}}{4+2\sqrt{3}}$ by multiplying numerator and denominator by $4-2\sqrt{3}$.
Consider $\left(4+2\sqrt{3}\right)\left(4-2\sqrt{3}\right)$. Multiplication can be transformed into difference of squares using the rule: $\left(a-b\right)\left(a+b\right)=a^{2}-b^{2}$.
