Nested Radical Equation simplified by a substitution. No denesting or complicated squaring required

The nested radical equation sqrt(x+22-10sqrt(x-3))+sqrt(x+46-14sqrt(x-3)) = 24 is extremely difficult to solve squaring with the algebraic identity (A+B)^2 = A^2 +2AB + B^2. The substitution u=sqrt(x-3) led to a straightforward solution where one had to note the restricted domain of substitution variable u.

Route of Mathematics channel commenters Brinzan Alexandru and tutor Rahul Paul had a lively discussion on an omitted valid solution of x =11