construct a line segment of length 1+√10/3

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I can't tell if you're asking 1 + √10/3 or if you're asking for 1 + (√10)/3 so I'll answer both.1 + √10/3 = 1 + √3.33 = 2.8251 + (√10)/3 = 1 + (√3.162)/3 = 1.054