Missing lengths of a 45^°-45^°-90^° Special Right Triangle given Leg length = 5√3

Leg lengths of a 45^°-45^°-90^° Special Right Triangle are equal
Hypotenuse length = Leg length * √2
Hypotenuse length = 5√3 * √2
Hypotenuse length = 5√6
Since the largest perfect square factor of 6 = 1, √6 is in simplest form
Hypotenuse length = 5√6 = 12.247448713916