How many non-square numbers are between 9 and 16?

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Solution

The numbers between 9 and 16 are 10, 11, 12, 13, 14 and 15. 9 and 16 can be expressed in the form of square as shown below. They are square numbers.

But 10, 11, 12, 13, 14 and 15 cannot be expressed in the shape of square like 9 and 16.

Thus, there are 6 non-square numbers between 9 and 16.

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