second smallest positive number greater than 11 that is both a perfect square and perfect cube
Question
What is the second smallest positive number greater than 11 that is both a perfect square and perfect cube?
Solution
The question is asking for the second smallest positive number greater than 11 that is both a perfect square and a perfect cube.
Step 1: Identify the smallest positive number greater than 11 that is both a perfect square and a perfect cube.
A perfect square is a number that can be expressed as the product of an integer with itself. For example, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, etc.
A perfect cube is a number that can be expressed as the product of an integer with itself twice. For example, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.
The smallest positive number greater than 11 that is both a perfect square and a perfect cube is 64 (4^3 and 8^2).
Step 2: Identify the second smallest positive number greater than 11 that is both a perfect square and a perfect cube.
The second smallest positive number greater than 11 that is both a perfect square and a perfect cube is 729 (9^3 and 27^2).
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