<prompt> Nambari halisi a,b,c, na d zinatoshelezaa2 b2 c2 519 d 36 sqrt10a 14b 22c - d.Tafuta a b c d.  <response>: Hebu x sqrt10a 14b 22c - d. Kisha x2 10a 14b 22c - d, hivyo d 10a 14b 22c - x2. Kisha tunaweza andika mlinganyo uliotolewa kamaa2 b2 c2 519 10a 14b 22c - x2 36x.Kwa hiyo,a2 b2 c2 x2 - 10a - 14b - 22c - 36x 519 0.Kukamilisha mraba katika a, b, c, na x, tunapataa - 52 b - 72 c - 112 x - 182 0.Kwa hiyo, a 5, b 7 , c 11, na x 18. Kishad 10a 14b 22c - x2 66,hivyo a b c d 5 7 11 66 89. 