Question

1.How many non perfect square numbers lie between the squares of the following numbers? 1) 62 and 63 2) 33 and 34 3) 99 and 100.
7.1) Express 8 as the sum of odd numbers. 2)Express 16' as the sum of odd numbers.​

Answer 1

Answer:

• There are  124 numbers lying between squares of 62 and 63 .
• There are  66 numbers lying between squares of 33 and 34 .
• There are  198 numbers lying between squares of 99  and 100 .

Step-by-step explanation:

Find squares of  numbers and then find the nonperfect square numbers lie between the squares of the given numbers.

1) 62 and 63

Square of 62 is 3844

Square of 63 is 3969

3969 - 3844 = 125

So, there are 125−1=124 numbers lying between squares of 62 and 63 .

2) 33 and 34

Square of 33 is  1089

Square of 34 is  1156

1156- 1089 = 67

So, there are 67−1=66 numbers lying between squares of 33 and 34 .

3) 99 and 100.

Square of 99 is  9801

Square of 100 is 10000

10000 - 9801 = 199

So, there are 199−1=198 numbers lying between squares of 99  and 100 .

7) 1) 8 = 1 + 7

8 = 3 + 5

2) 16 = 1 + 15

16 = 3 + 13

16 = 5+ 11

16 = 7 + 9