Question

but what number should 9075 multiplied to get a perfect square number

Answer 1

after doing prime factorisation of the no. 9075
we got 3 left unpaired
3×5×5×11×11
so we will multiply it with 3
the result will be
27225 which is a square of 165

Answer 2

9075 = 5 * 5 * 3 * 11 * 11
Thus, when we do square root of 9075 we get 55√3. Therefore to get perfect square we should multiply the 9075 with 3.