SOLUTION: Can anyone please provide step-by-step ways to solve this: If x+ 1/x =2, then prove that x√x + 1/x√x = 2

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Question 706382: Can anyone please provide step-by-step ways to solve this:
If x+ 1/x =2, then prove that x√x + 1/x√x = 2

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Guessing that you want to prove that x%2Asqrt%28x%29%2B1%2F%28x%2Asqrt%28x%29%29=2.

Initially since both equations take the exact same form, I say no proof needed. But not stopping with just that, I tried solving the IF equation. Found is
%28x-1%29%5E2=0, meaning x=+1.

Can we use x=1 to satisfy the other equation? If so, this seems like proof. Can we say, let x=1 and find 1%2Asqrt%281%29? Yes. It is 1. Can we then use this value for x%2Asqrt%28x%29 in the equation? YES. It works, giving 2=2.

1%2Asqrt%281%29%2B1%2F%281%2Asqrt%281%29%29=2
1+1=2
2=2
.....? Seems good.