Short Answer TypeHow many numbers lie between squares of:
(i) 27 and 28
(ii) 16 and 17
(iii) 97 and 98
We know that, between n2 and (n + l)2, there are 2n non-square numbers.
(i) Between 27 and 28, there are 2 × 27, i.e 54 numbers.
(ii) Between 16 and 17, there are 2 × 16, i.e. 32 numbers.
(iii) Between 97 and 98, there are 2 × 97, i.e. 194 numbers.
How many numbers lie between squares of the following numbers?
(i) 26 and 27 (ii) 30 and 31
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