SOLUTION: What is x^2 + 2x√5 + 5 factored?

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Question 719742: What is x^2 + 2x√5 + 5 factored?
Found 3 solutions by lwsshak3, lynnlo, josgarithmetic:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What is x^2 + 2x√5 + 5 factored
add sqrt of the first term+sqrt of last term and square it
(x+√5)^2=x^2+2x√5+5
Therefore: x^2 + 2x√5 + 5 factored=(x+√5)^2 or (x+√5)(x+√5)

Answer by lynnlo(4176) About Me  (Show Source):
You can put this solution on YOUR website!
FACTORED:
x^2+2x√5
x(x+2√5)

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Try to fill in what is missing in (x+____)(x+____). You see the constant term is 5, so you want something a and b so that ab=5. You also see a sqrt%285%29 in the x term. You might be looking for irrational numbers.

5*1? 1%2A5? sqrt%285%29%2A1? sqrt%285%29%2Asqrt%285%29?
Also, in the FOIL method of multiplying, you want to sum of the O and I terms to be 2x%2Asqrt%285%29.

Try %28x%2Bsqrt%285%29%29%28x%2Bsqrt%285%29%29.