diff --git a/xfails.txt b/xfails.txt
index 6a4d7aa..f755e3d 100644
--- a/xfails.txt
+++ b/xfails.txt
@@ -162,3 +162,5 @@ array_api_tests/test_special_cases.py::test_unary[acos(x_i > 1) -> NaN]
 array_api_tests/test_special_cases.py::test_unary[asin(x_i > 1) -> NaN]
 array_api_tests/test_special_cases.py::test_unary[acosh(x_i < 1) -> NaN]
 array_api_tests/test_special_cases.py::test_unary[asinh(x_i < 1) -> NaN]
+array_api_tests/test_special_cases.py::test_unary[acos(x_i < -1) -> NaN]
+array_api_tests/test_special_cases.py::test_unary[sqrt(x_i < 0) -> NaN]