Ordering Difference of Square Roots
CMAT 2025 · Quantitative Techniques & Data Interpretation · Medium · Surds and Indices
Arrange the following in descending order :
A: B: C: D:
- A.
C > A > B > D
- B.
D > C > B > A
- C.
C > B > A > D
- D.
C > D > B > A
Answer
D
Explanation
Rationalizing each expression gives . As grows larger, the denominator increases, making the overall fraction smaller. Thus, C (smallest ) > D > B > A.
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