What is the smallest positive integer K such that the product of 2205 x K is a perfect square?
Choose the correct option: A) 5 B) 9 C) 15 D) 25 E) 63
A perfect square, is just an integer that can be written as the square of some other integer. For example 16=4^2, is a perfect square.   Now, 2205 = 3^2 * 7^7 * 5, so if k=5 then 2205 k = (3 * 7 * 5)^2, which is a perfect square (basically the least positive value of k must complete only the power of 7 to even power as powers of other primes are already even).   5nswer: 5.
<result>A</result>
What is the smallest positive integer K such that the product of 2205 x K is a perfect square?