SOLUTION: By what numbers should 3675, 605, 2880, 4056, 3468, and 7776 be multiplied by to be perfect squares?

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Question 882822: By what numbers should 3675, 605, 2880, 4056, 3468, and 7776 be multiplied by to be perfect squares?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The way you state the problem, there are an infinite number of possibilities.
You could multiply by their reciprocals to make them all equal to 1.
3675%2A%281%2F3675%29=1
Or are you looking for integer multiplier?
3675=3%2A5%5E2%2A7%5E2 so multiplying by 3 would make it a perfect square.
3%2A3675=3%5E2%2A5%5E2%2A7%5E2
sqrt%283%2A3675%29=3%2A5%2A7=105
sqrt%2811025%29=105
PLease repost another question with additional clarification.