Question

2. Find the least number by which 250 is to be multiplied (or) divided so that the
resulting number is a perfect square. Also, find the square root in that case.​

Answer 1

Do prime factorisation of the given number , so prime factorisation of 250= 5x5x5x2

Now in a perfect square number the factors form a pair

So here you would have to either multiply it by 5 x 2 (you will get 2500 ,square of 50)
Or divide it by 5x2 or 10, to get a number which is a perfect square(you will get 25, square of 5)