Mixed Format $$E _ { L I N E } = \sqrt { E_ R ^ { 2 } + E _X ^ { 2 } }$$

Mixed format: $$E _ { L I N E } = \sqrt { E_ R ^ { 2 } + E _X ^ { 2 } }$$ (with a space between the whole number and the numerator) Fraction format: $1 /4$
Reduce all fractions. A cable measures $$\begin{array} { l l } C M = \frac { K L N } { d ^ { 2 } } & \\&\text { where } N = \text { number of wires } \\& K = \text { constant } ( 10.8 ) \\& L = \text { length of one wire infeet } \\& R = \text { resistance in ohms } \\& d = \text { diameter in mils }\end{array}$$ inch outside diameter and has $12 / 1,000$ inch of cotton and $50 / 1,000$ inch of rubber insulation. Determine the diameter of the copper conductor (wire).