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Calculus
Level
2
If √a > √b > √c > √d, where a, b, c, d are consecutive natural numbers, then which of the following is correct?
√c - √d = √a - √b
√c - √d > √a - √b
√a - √b > √c - √d
√a - √c > √b - √d
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1 solution
Honestly, I just considered the shape of the graph of the square root function, realized that its slope is positive but decreasing, so the difference of two "lower" values would be greater than the difference of two "higher" values.