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Q.

How many non-square (natural) numbers lie between squares of 2 and 3?

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a

2

b

1

c

3

d

4

answer is A.

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Detailed Solution

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There are 2n non perfect square numbers between the squares of the numbers n and (n + 1).

For example, non-perfect square numbers between the squares of the numbers 2 and 3 = 2x2 = 4 (As per theorem)

So, non-perfect square numbers between 4 and 9 = 5, 6, 7, 8

Total number = 4.

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How many non-square (natural) numbers lie between squares of 2 and 3?