How many non-perfect square numbers lie between squares of the following numbers:

A) 14and15

B) 90 and 91

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Solution

We know that there will be 2n numbers in between the squares of the numbers n and (n+ 1).

(i) Between 14 and 15, there will be 2 × 14 = 28 numbers

(ii) Between 90 and 91, there will be 2 × 90 = 180 numbers

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90^{2}

91^{2}

How many non-perfect square numbers lie between the squares of 3 and 4?

15^{2}

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