If lgx + lgY = 2, then the minimum value of X + y is______ .

If lgx + lgY = 2, then the minimum value of X + y is______ .

From lgx + lgY = lgxy = 2, we get xy = 102 = 100, and x > 0, Y > 0, then x + y ≥ 2XY = 20. If and only if x = y, we take the equal sign, so the minimum value of X + y is 20, so the answer is 20