Question

Solve the equation:
\sqrt{x + 1} + \sqrt{x + 8} = \sqrt{5x+ 9}

I don't want an answer or solution. I just want a hint as to how I would go about with simplifying the LHS's radicals.

Answer 1

I would start by squaring some stuff.

Answer 2

conjugate of LHS?

Answer 3

Conjugate of this wouldn't help much I don't think. I would simply square both sides first.

Answer 4

I have the answer when you want to check yourself out.