Question

A variable in the radicand of a radical expression _______________ represents a positive quantity. Always Sometimes Never

Answer 1

Sometimes

1. The radical expression $\sqrt[n]{}$ with even n requires a variable with positive quantity. For example, if you have $\sqrt[4]{x^3}$, then always $x^3\ge 0$.


2. If you have radical expression $\sqrt[n]{}$ with odd n, ia variable may be arbitrary. For example, for $\sqrt[7]{x}$ you can consider all real x.