Question

Find the smallest number by which 2250 should be divided so that the quotient is a perfect square. Also find the square root of the new number obtained.

Answer 1

Answer:

10 and the square root of the quotient is 15

Answer 2

Answer:

prime factorising 2250 we get

2*3*3*5*5*5

we see that 2 and 5 is not having a pair of two

hence 2250 must be divided with 2*5 = 10 to obtain a perfect square

2250/10 = 225

$\sqrt{225 = 15}$

225 = 3²*5²

225 is a perfect square