Chapter 9.1, Problem 101E

To determine

To explain for what value of m the expression is in radical or not radical form.

  $\sqrt{2^m}$

Answer to Problem 101E

When $m$ is odd positive integer

  $\sqrt{2^m}$ is in radical form

When $m$ is even positive integer

  $\sqrt{2^m}$ is not in radical form

Explanation of Solution

Given information:

The expression

  $\sqrt{2^m}$

Calculation:

The expression

  $\sqrt{2^m}$

When $m$ is odd positive integer

Then

The expression $\sqrt{2^m}$ is in radical form

The expression

  $\sqrt{2^m}$

When $m$ is even positive integer

Then

The expression $\sqrt{2^m}$ is not in radical form