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15 January, 12:00

What is the least possible positive integer-value of n such that sqrt (18*n*34) is an integer?

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  1. 15 January, 14:10
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    18*2 = 36 which is a perfect square so n could have a factor 2

    if we use 34^2 we have 18*2 * 34^2 = 41616 whose square root is 204

    so n = 2*34 = 68 is one possibility but Im not sure if that is the least possible integer value.

    what we need is a perfect square which is also divisible by 34.
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