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Which of the following is true for √(x^2)?
Which of the following is true for √(x^2)?
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Practice Questions
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Q1
Which of the following is true for √(x^2)?
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√(x^2) = |x|.
Questions & Step-by-step Solutions
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Q
Q: Which of the following is true for √(x^2)?
Solution:
√(x^2) = |x|.
Steps: 5
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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.
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