How many numbers lie between squares of the following numbers: (i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100

(i) Since, non-perfect square numbers between and are n² and (n+1)² are 2n
Here, = 12 n
Therefore, non-perfect square numbers between 12 and 13 = 2n = 2×12=24

(ii) Since, non-perfect square numbers between n² and (n+1)² are 2n.
Here, n = 25
Therefore, non-perfect square numbers between 25 and 26 = 2n = 2 x 25 = 50

(iii) Since, non-perfect square numbers between n² and (n+1)² are 2n.
Here, n = 99
Therefore, non-perfect square numbers between 99 and 100 = 2n = 2 x 99 = 198

Class 8 Maths Chapter 6 Exercise 6.1 Solution in Video

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