Difficulty: Easy
Correct Answer: 25
Explanation:
Introduction / Context:
When dividing square roots, combine them into a single radical to simplify. Look for perfect-square simplifications.
Given Data / Assumptions:
Expression: √4375 / √7.
Concept / Approach:
Use √a / √b = √(a/b). If the fraction simplifies to a perfect square, the square root becomes an integer.
Step-by-Step Solution:
Verification / Alternative check:
4375 = 7 * 625 confirms the simplification; 625 is 25^2.
Why Other Options Are Wrong:
24.75 and 27.25 are near-by distractors; 35 and 20 are unrelated integers not supported by the exact simplification.
Common Pitfalls:
Rationalizing or approximating too early; here, exact simplification is cleaner.
Final Answer:
25
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