Find the smallest integer value of n for which 120n is a perfect square.
My answer is n = 7.5
Is it correct?
If not, could you please show me your workings? I want to learn, thanks.
2007-09-26 23:13:49 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
No, this is incorrect: 7.5 is not an integer! Integers are whole numbers, e.g. {... -3, -2, -1, 0, 1, 2, 3...} or numbers with no decimal points. However, no perfect square can be negative (unless you're talking about imaginary numbers, which, I presume, is not the case). So, n cannot be negative.
Therefore, I believe the smallest integer value is n = 0:
120 * 0 = 0 = √0
Next closest is n = 30:
120 * 30 = 3600 ---> √3600 = 60
RobertL is right, thanks... Thumbs up from me!
2007-09-26 23:17:17 · answer #1 · answered by Anthony P - Greece 2 · 0⤊ 0⤋
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2016-10-20 03:01:10 · answer #2 · answered by ? 4 · 0⤊ 0⤋
Anthony got it (n = 30), but I think he meant to say
√(3600) = 60
.
2007-09-26 23:33:24 · answer #3 · answered by Robert L 7 · 1⤊ 0⤋