Question

Find the smallest number by which 1100 must be multiplied so that the product becomes a perfect square. Also find the square root of the perfect square obtained.

Answer 1

1100=5*5*2*2*11

Since, 11 does not forms a pair therefore 11 should be multiplied to 1100 to make it a perfect square.

1100*11=12100

Now,

12100=5*5*2*2*11*11

√12100=5*2*11

√ 12100=110