diff --git a/src/lol/math/vector.h b/src/lol/math/vector.h
index c2b6e093..46f4fe0a 100644
--- a/src/lol/math/vector.h
+++ b/src/lol/math/vector.h
@@ -1006,13 +1006,13 @@ template <typename T> struct Quat
 template<typename T>
 inline T norm(Quat<T> const &val)
 {
-    return sqlength(val);
+    return length(val);
 }
 
 template<typename T>
 static inline Quat<T> re(Quat<T> const &val)
 {
-    return ~val / norm(val);
+    return ~val / sqlength(val);
 }
 
 template<typename T>
diff --git a/test/unit/quat.cpp b/test/unit/quat.cpp
index 050b5f63..e6993561 100644
--- a/test/unit/quat.cpp
+++ b/test/unit/quat.cpp
@@ -67,14 +67,14 @@ LOLUNIT_FIXTURE(QuaternionTest)
     {
         quat a(2.f, -2.f, -8.f, 3.f);
 
-        LOLUNIT_ASSERT_EQUAL(norm(a), 81.f);
+        LOLUNIT_ASSERT_EQUAL(norm(a), 9.f);
 
         quat b = a * ~a;
-        quat c(norm(a), 0.f, 0.f, 0.f);
+        quat c(norm(a) * norm(a), 0.f, 0.f, 0.f);
 
         LOLUNIT_ASSERT_EQUAL(b, c);
 
-        quat d(2.f, 3.f, -4.f, -1.f);
+        quat d(2.f, 5.f, -4.f, -2.f);
 
         LOLUNIT_ASSERT_EQUAL(norm(a * d), norm(a) * norm(d));
     }