Question

24.Find the smallest number by which 1008 must be multiply so that the quotient is a

perfect square. Find the square root of the quotient

Answer 1

Answer:

By prime factorisation we get,

252 = 2 x 2 x 3 x 3 x 7

Here, 2 and 3 are in pairs but 7 needs a pair. Thus, 7 can become pair after multiplying 252 with 7.

So, 252 will become a perfect square when multiplied by 7.

Thus, Answer = 7