Which of the following is true for √(x^2)?
Correct Answer: √(x^2) = |x|
- Step 1: Understand what √(x^2) means. It is asking for the square root of x squared.
- Step 2: Recall that squaring a number (x^2) makes it positive, whether x is positive or negative.
- Step 3: The square root of a number gives you the non-negative value that, when squared, gives you that number.
- Step 4: Therefore, √(x^2) will always give you the positive version of x, which is called the absolute value.
- Step 5: The absolute value of x is written as |x|, which means it is always non-negative.
No concepts available.
