Evaluate the radical quotient: What is √4375 / √7 equal to?

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