Question

(a) Find the smallest number by which 8019 must be multiplied to get a perfect square.

Answer 1

First we will take out the LCM of 8019. the prime factors which we got are: 3,3,3,3,3,3 and 11.

so we see that 3 is making pairs of two but 11 is single,

So, we will multiply 8019 by 11 to get a perfect square.

then we get 88209 after multiplying 8019 by 11 which is a perfect square.