## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$|a+b|$
Using $\sqrt{x^2}=|x|$, the given expression, $\sqrt[414]{(a+b)^{414}} ,$ simplifies to \begin{array}{l} |a+b| .\end{array} We put the variables in absolute value bars since they are both being raised to an odd power.