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.