\fdO'^ - Old Forge Coal Mines

86 ARITHMETIC.
{b) f 6 = VTa
2 4/G.O O'O O'O O'O O'O = 2.4494897428 +
2 4
40 200
4 176
44 2400
4 1936
480 46400
4 44001
484 239900
4 195936
4880 4396400
9 3919104
48 8 9 489896)47 7 29 6.00000 (.974280 or .97428 +
9 4409064
4 8980 3638960
4 3429272
48984 2096880
4 1959584
489880 1372960
8 979792
489888 3931680
8 3919168
489896 12512
It is required in this problem to find the sixth root of 6 ;
hence it is necessary to extract both the square and cube
roots in succession, since the index, 6, equals 2x3 or
3x2. It makes no particular difference as to which root
we extract first, but it will be more convenient to extract
the square root first. The result has been carried to 10
decimal places; since the answer requires but 5 decimal
places, the remaining decimals will not affect the cube root
in the fifth decimal place, as the student can see for himself
if he will continue the operation.