Difficulty: Easy
Correct Answer: 625
Explanation:
Introduction / Context:
A simple radical equation in the denominator. Clear the denominator first, then isolate the square root, square, and solve.
Given Data / Assumptions:
250 / √(?) = 10.
Concept / Approach:
Cross-multiply to get √(?) in terms of known numbers, then square.
Step-by-Step Solution:
Verification / Alternative check:
Check: 250 / √625 = 250 / 25 = 10.
Why Other Options Are Wrong:
25 and 250 are values of √(?) or the original numerator; 2500 over-squares; 100 is unrelated.
Common Pitfalls:
Squaring before isolating the root, leading to algebraic mistakes.
Final Answer:
625
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