SOLUTION: Find all real solutions of the equation. sqrt(r)+ sqrt(r+8)=6 I'm lost. I've gotten to r=36-4sqrt(r+2) + (r+2) and I'm not even sure I'm going in the right direction.

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Question 881507: Find all real solutions of the equation.
sqrt(r)+ sqrt(r+8)=6

I'm lost. I've gotten to r=36-4sqrt(r+2) + (r+2) and I'm not even sure I'm going in the right direction.
Thanks!
Alicia

Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
You will need to square both sides TWICE.

More than one way to solve, but here is maybe the easier way:




Square both sides.




Squ.................. not yet.





CHECK:




YES.

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