SOLUTION: if k is a positive integer,what is the least value of k for which sqrt (5k/3) is an integer? A 3 b 5 c 15 d 25 e 60

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: if k is a positive integer,what is the least value of k for which sqrt (5k/3) is an integer? A 3 b 5 c 15 d 25 e 60      Log On


   

Question 304107: if k is a positive integer,what is the least value of k for which sqrt (5k/3) is an integer?
A 3 b 5 c 15 d 25 e 60
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In order for sqrt%285k%2F3%29 to be an integer, k must be divisible by 3
I'll create a new variable k+=+3j and I have
sqrt%285j%29 which must be an integer, so 5j must be a perfect square.
j+=+5 gives me the smallest square
k+=+3j
k+=+3%2A5
k+=+15
The answer is c