Find the distance between 7 and 14?

Number Theory Level pending

If all the positive integers were to be arranged in a plane such that

  • Each number occupies an integral point in the plane,

  • Every consecutive integers must be adjacent points, and

  • All the integral squares lie along a line.

Then find the distance between the points representing 7 and 14.

7 7 4 4 17 \sqrt { 17 } 15 \sqrt { 15 }

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1 solution

Sanath Balaji
Jun 1, 2016

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