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Question 1124971: find the smallest value of k such that 2x²*3²*5*k is a perfect square
Answer by greenestamps(13209)   (Show Source):
You can put this solution on YOUR website!
Written as a product of factors each raised to a power, a number is a perfect square (2nd power) only if all the exponents are multiples of 2 -- i.e., even.
The "x" factor and the "3" factor both have even exponents; the "2" and "5" do not.
So to make a perfect square, the expression needs another factor of 2 and another factor of 5 -- which means k is 5*2 = 10.
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