Answer
$R=\frac{R_1R_2}{R_1+R_2}$
Work Step by Step
$\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}=\frac{R_1+R_2}{R_1R_2}$
thus $R=\frac{R_1R_2}{R_1+R_2}$
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