Final answer:
The value of the expression sqrt(x^2) can be evaluated for different values of x. For any non-negative value of x, the equality sqrt(x^2) = -x holds true.
Step-by-step explanation:
The value of the expression sqrt(x^2) can be found by substituting different values of x into the expression. Let's evaluate the expression for each given value of x:
-
- For x = -5, sqrt((-5)^2) = sqrt(25) = 5
-
- For x = -8, sqrt((-8)^2) = sqrt(64) = 8
-
- For x = 0, sqrt((0)^2) = sqrt(0) = 0
-
- For x = 11, sqrt((11)^2) = sqrt(121) = 11
-
- For x = 13, sqrt((13)^2) = sqrt(169) = 13
The equality sqrt(x^2) = -x holds true for any non-negative value of x. For example, if x = 2, sqrt((2)^2) = sqrt(4) = 2, which equals -2.