MODERATE EXERCISES-Square Roots and Other Radicals

(1) True or false:

1. = x, for all x

2. , for all x

3. , if n is odd

1. False. To see this, evaluate the expression for x = -1.

2. False. To see this, evaluate at x = 2, for example (or any non-zero x-value).

3. True, since any odd power of -1 is -1.