Free Practice Question
PS · Problem Solving
705-805
Roots
If , then the product of all possible solution(s) for is:
Answer Choices
Correct answer marked belowA
-4
B
-2
C
0
4
Correct
E
6
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Explanation
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Official Explanation
Official
Square both sides: --> --> or .
However, cannot be negative as it equals the square root of some expression (), so only one solution is valid: .…
However, cannot be negative as it equals the square root of some expression (), so only one solution is valid: .…
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What it tests
Your handling of square and higher roots, including simplifying radicals.
Common trap
Forgetting the ± when taking a square root to solve an equation, or assuming √(a²) = a.
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Details
Difficulty
705-805
Type
PS
Category