Question 31
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Which is greater: √5 + √7 or √3 + √9?
- A √3 + √9
- B Both are equal
- C √5 + √7 Correct
- D Cannot be determined
Correct Answer: Option C
Both pairs add to 12 under the roots (5 + 7 = 3 + 9).
For a fixed total, roots that are closer together give a larger sum.
√5 + √7 ≈ 2.236 + 2.646 = 4.882
√3 + √9 ≈ 1.732 + 3 = 4.732
Answer: √5 + √7
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