diff --git a/pandas/core/groupby/groupby.py b/pandas/core/groupby/groupby.py
index d039b715b3c08..93ee65b6ddd57 100644
--- a/pandas/core/groupby/groupby.py
+++ b/pandas/core/groupby/groupby.py
@@ -1434,16 +1434,18 @@ def std(self, ddof: int = 1):
         Series or DataFrame
             Standard deviation of values within each group.
         """
-        return self._get_cythonized_result(
-            "group_var_float64",
-            aggregate=True,
-            needs_counts=True,
-            needs_values=True,
-            needs_2d=True,
-            cython_dtype=np.dtype(np.float64),
-            post_processing=lambda vals, inference: np.sqrt(vals),
-            ddof=ddof,
-        )
+        result = self.var(ddof=ddof)
+        if result.ndim == 1:
+            result = np.sqrt(result)
+        else:
+            cols = result.columns.get_indexer_for(
+                result.columns.difference(self.exclusions).unique()
+            )
+            # TODO(GH-22046) - setting with iloc broken if labels are not unique
+            # .values to remove labels
+            result.iloc[:, cols] = np.sqrt(result.iloc[:, cols]).values
+
+        return result
 
     @Substitution(name="groupby")
     @Appender(_common_see_also)