In base 7, find the square root of greatest 3-digit perfect square.
In base 7, find the square root of greatest 3-digit perfect square. Correct Answer 22
In decimal system 312 i.e., 961 is the greatest 3-digit perfect square. In base system 9, 282 i.e., (784)10 = (961)9 is the greatest 3-digit perfect square. In base system 8, 252 i.e., (625)10 = (961)8 is the greatest 3-digit perfect square. In base system 7, 222 i.e., (484)10 = (961)7 is the greatest 3-digit perfect square.