SOLUTION: Explain why the first step in solving the equation √(x+7)-√x=1 is not to square each side of the equation. Then what is the first step? DO NOT SOLVE THE EQUATION.

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Question 1135385: Explain why the first step in solving the equation √(x+7)-√x=1 is not to square each side of the equation. Then what is the first step? DO NOT SOLVE THE EQUATION.
Found 3 solutions by MathLover1, MathTherapy, Alan3354:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

the equation sqrt%28x%2B7%29-sqrt%28x%29=1+ has both terms on left side under square root, and it will require more time to square it
if you muve -sqrt%28x%29 to the right, will be much easier to square 1%2Bsqrt%28x%29, you will have only one time sqrt in entire equation

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Explain why the first step in solving the equation √(x+7)-√x=1 is not to square each side of the equation. Then what is the first step? DO NOT SOLVE THE EQUATION.
Because you'll be left with a left-side of: 

This could prove to be quite a challenge for some, to continue onto the solution.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You can square both sides 1st, it doesn't matter.
After some shuffling, it's all the same.
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Stupid question, IMO.