Rational or Irrational


Click here for the original question.


My first attempt was to solve the problem as follows:

 

So, I started a spreadsheet. But, I soon realized there were too many possibilities to consider. So, I looked for a simpler solution. After careful consideration, and some assistance, I noticed the following:

k is an irrational number which when raised to the sqrt(2) results in a rational number!


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