If lgx + lgY = 2, find the minimum value of 1 / x + 1 / y (1 / x) is one in X, and (1 / y) is one in y

If lgx + lgY = 2, find the minimum value of 1 / x + 1 / y (1 / x) is one in X, and (1 / y) is one in y

lgx+lgy=lgxy=2
So xy = 100
1 / x + 1 / y = (x + y) / XY is greater than or equal to 2 * radical (XY) / xy = 20 / 100 = 2 / 10