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Question

There are non-square natural numbers between the squares of 4 and 5.

A
three
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B
six
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C
eight
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D
ten
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Solution

The correct option is C eight
We know that between n2 and (n+1)2, there are 2n non-square natural numbers.
Example: Between 22 and 32 there are 2×2=4 non-square natural numbers.
These numbers are 5, 6, 7 and 8.

Between 42 and 52, there are 2×4=8 non-square numbers.

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