help me out with this problem please, i got 8=16, wolfram got some decimal number, but the answer key i have has -2

Question

anonymous · Answer

$$\sqrt{x+6}+\sqrt{2-x}=4$$
help please

anonymous · Answer

You got no choice but to square  both sides of this guy, lets do it toghether

anonymous · Answer

i was told to use the power rule which means to deal with one radical sign at a time, i don't get it. i tried squaring both sides the way it is but i got a wrong answer

anonymous · Answer

what exactly are we doing here?

anonymous · Answer

i'm supposed to isolate a radical sign on one side of the equation
that would give me $$\sqrt{x+6}=4-\sqrt{2-x}$$ and then I should square both sides, i get stuck when i get to squaring what's on the right of the equal sign

anonymous · Answer

okay, you should get: |dw:1323991340962:dw|