To simplify the expression 1/(9-4√5) + 1/(9+4√5), we first need to find a common denominator.
The common denominator is obtained by multiplying the two denominators together:
(9-4√5)(9+4√5) = 81 - 16(5) = 81 - 80 = 1
So, the expression becomes:
(1/(9-4√5)) + (1/(9+4√5)) = [(1(9+4√5) + 1(9-4√5))/((9-4√5)(9+4√5))] = [(9+4√5+9-4√5)/1] = (18/1) = 18
Therefore, 1/(9-4√5) + 1/(9+4√5) simplifies to 18.
To simplify the expression 1/(9-4√5) + 1/(9+4√5), we first need to find a common denominator.
The common denominator is obtained by multiplying the two denominators together:
(9-4√5)(9+4√5) = 81 - 16(5) = 81 - 80 = 1
So, the expression becomes:
(1/(9-4√5)) + (1/(9+4√5)) = [(1(9+4√5) + 1(9-4√5))/((9-4√5)(9+4√5))] = [(9+4√5+9-4√5)/1] = (18/1) = 18
Therefore, 1/(9-4√5) + 1/(9+4√5) simplifies to 18.