Question

Numbers given below are not perfect squares. Find the smallest whole number to which when multiplied makes it perfect square.

(i) 252
(ii) 396
(iii) 1620

Answer 1

(i) 252

∴ 252 = 2 x 2 x 3 x 3 x 7

There is no perfect pair of 7.

Therefore 7 is to be multiplied.

(ii) 396

∴ 396 = 2 x 2 x 3 x 3 x 11

Here 11 has no pair so required number is 11.

(iii) 1620

∴ 1620 = 2 x 2 x 3 x 3 x 3 x 3 x 5

∴Here 5 has no pair. So the required number is 5.