Q89 of 142 Page 88

Show that 500 is not a perfect squae.

Given: 500

Factors of 500 = 2 ×2 × 5 × 5 × 5

= 2² × 5³

As we see, 500 is not a perfect square.

Hence proved.

Write the first five square numbers.

Write cubes of first three multiples of 3.

Express 81 as the sum of first nine consecutive odd numbers.

Using prime factorisation, find which of the following are perfect squares.

(a) 484 (b) 11250