SOLUTION: find the smallest integer of k such that 2520k is a perfect square. (can you provide answer with working)

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find the smallest integer of k such that 2520k is a perfect square. (can you provide answer with working)      Log On


   



Question 398295: find the smallest integer of k such that 2520k is a perfect square.
(can you provide answer with working)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
2520k+=+2%5E3%2A3%5E2%2A5%2A7%2Ak. Then by inspection the least value of k is 2*5*7 = 70.