How many numbers lie between squares of:

(i) 27 and 28

(ii) 16 and 17

(iii) 97 and 98

72.

Express 169 as the sum of first 13 odd numbers.

Write the Pythagorean triplet whose one member is 13.

 Show that (i) 1068 and (ii) 222222 can not be a perfect square.

What will be the number of zeroes in the square of: (i) 50 and (ii) 300?

Express 19² as the sum of two consecutive integers.

How many numbers lie between squares of the following numbers?

(i) 26 and 27 (ii) 30 and 31

Find the square of 29 using the formula (a – b)² = a² + b² – 2ab.

The square of the number 161 will end in

• 1

• 6

• 2

The square of 1980 is

• an even number

   

• an odd number

• a perfect number