diff --git a/lib/std/math/big/int.zig b/lib/std/math/big/int.zig
index ce73c0c648..b182993885 100644
--- a/lib/std/math/big/int.zig
+++ b/lib/std/math/big/int.zig
@@ -3228,8 +3228,19 @@ pub const Managed = struct {
 
     /// r = ⌊√a⌋
     pub fn sqrt(rma: *Managed, a: *const Managed) !void {
-        const needed_limbs = calcSqrtLimbsBufferLen(a.bitCountAbs());
+        const bit_count = a.bitCountAbs();
 
+        if (bit_count == 0) {
+            try rma.set(0);
+            rma.setMetadata(a.isPositive(), rma.len());
+            return;
+        }
+
+        if (!a.isPositive()) {
+            return error.SqrtOfNegativeNumber;
+        }
+
+        const needed_limbs = calcSqrtLimbsBufferLen(bit_count);
         const limbs_buffer = try rma.allocator.alloc(Limb, needed_limbs);
         defer rma.allocator.free(limbs_buffer);
 
diff --git a/lib/std/math/big/int_test.zig b/lib/std/math/big/int_test.zig
index da8fb98c5c..ac4326ec4e 100644
--- a/lib/std/math/big/int_test.zig
+++ b/lib/std/math/big/int_test.zig
@@ -3149,3 +3149,29 @@ test "big.int.Const.order 0 == -0" {
     };
     try std.testing.expectEqual(std.math.Order.eq, a.order(b));
 }
+
+test "big.int.Managed sqrt(0) = 0" {
+    const allocator = testing.allocator;
+    var a = try Managed.initSet(allocator, 1);
+    defer a.deinit();
+
+    var res = try Managed.initSet(allocator, 1);
+    defer res.deinit();
+
+    try a.setString(10, "0");
+
+    try res.sqrt(&a);
+}
+
+test "big.int.Managed sqrt(-1) = error" {
+    const allocator = testing.allocator;
+    var a = try Managed.initSet(allocator, 1);
+    defer a.deinit();
+
+    var res = try Managed.initSet(allocator, 1);
+    defer res.deinit();
+
+    try a.setString(10, "-1");
+
+    try testing.expectError(error.SqrtOfNegativeNumber, res.sqrt(&a));
+}