Solve for the missing number: 250 / √(?) = 10. What is the value of ?

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:

250 = 10 * √(?) ⇒ √(?) = 25? = 25^2 = 625


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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