Question

find the smallest number by which 3654 must be divided so that it becomes a perfect square also find the square root of the resulting number ​

Answer 1

by prime factorization we get 3654=2×3×3×7×29

so, we most divide 406 (2×7×29) with 3654 to get a perfect square

resulting resulting number is 9

and it's sq. root is 3