Henry Ernest Dudeney/Puzzles and Curious Problems/101 - Finding a Square

by : $101$

 * Finding a Square
 * Here are six numbers:
 * $4 \, 784 \, 887$, $2 \, 494 \, 651$, $8 \, 595 \, 087$, $1 \, 385 \, 287$, $9 \, 042 \, 451$, $9 \, 406 \, 087$


 * It is known that three of these numbers added together will form a square.
 * Which are they?


 * The reader will probably see no other course but rather laborious trial,
 * and yet the answer may be found directly by very simple arithmetic and without any experimental extraction of a square root.