# How many numbers lie between squares of the following numbers?

(i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100

**Solution:**

'2n' numbers lie between the square of two consecutive numbers n and (n+1).

(i)12 and 13

Here, n = 12. Thus, 2n = 2 × 12 = 24 ,

i.e., 24 numbers lie between (12)^{2} and (13)^{2}

(ii) 25 and 26

Here, n = 25 gives 2 × 25 = 50 , i.e., 50 numbers lie between (25)^{2} and (26)^{2}

(iii) 99 and 100

Here, n = 99 gives 2 × 99 = 198, i.e., 198 numbers between (99)^{2} and (100)^{2}

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 6

**Video Solution:**

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

NCERT Solutions for Class 8 Maths Chapter 6 Exercise 6.1 Question 9

**Summary:**

The numbers that lie between the squares of the given questions (i) 12 and 13 (ii) 25 and 26 (iii) 99 and 100 are (i) 24, (ii) 50, (iii) 198

**☛ Related Questions:**

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- Observe the following pattern and find the missing digits. 112 = 121 1012 = 10201 10012 = 1002001 1000012 = 1....2....1 100000012 = ...........
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