diff --git a/uxarray/grid/coordinates.py b/uxarray/grid/coordinates.py
index bb408fdec..2ace69d97 100644
--- a/uxarray/grid/coordinates.py
+++ b/uxarray/grid/coordinates.py
@@ -121,10 +121,10 @@ def _xyz_to_lonlat_rad(
 
     if normalize:
         x, y, z = _normalize_xyz(x, y, z)
-        denom = np.abs(x * x + y * y + z * z)
-        x /= denom
-        y /= denom
-        z /= denom
+        denom = np.hypot(np.hypot(x, y), z)
+        x = x / denom
+        y = y / denom
+        z = z / denom
 
     lon = np.arctan2(y, x)
     lat = np.arcsin(z)