Math Problem Statement
solve
Which expression is equal to |a - 2 - √(a - 1)^2| for a < 0?
Solution
The expression for simplifies to:
Would you like a more detailed breakdown of this solution?
Here are 5 related questions that could expand your understanding:
- How does the absolute value function affect the result for different values of ?
- What happens if ? How would the expression simplify in that case?
- What is the geometric interpretation of absolute values and square roots in this context?
- How does the expression change if is expanded explicitly?
- How do we handle expressions inside absolute value functions when solving inequalities?
Tip: When simplifying expressions with square roots and absolute values, consider the sign of the variable inside the square root.
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Math Problem Analysis
Mathematical Concepts
Algebra
Absolute Value
Square Roots
Formulas
Absolute value function: |x|
Square root simplification: √(x^2) = |x|
Theorems
Properties of absolute values
Simplification of square roots
Suitable Grade Level
Grades 9-12