SOLUTION: Can you simplify √8x^2+2x+1 all over 4?

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Question 862815: Can you simplify √8x^2+2x+1 all over 4?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
To simplify sqrt%288x%5E2%2B2x%2B1%29%2F4 ?
First thought, is NO. The quadratic under the radical is not really much factorable, and if it is, the denominator of 4 gives nothing to cancel.
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Second thought is that maybe the quadratic should be checked more carefully for factorizability; but still, the denominator of 4 would stay.

One more thought: factor the quadratic expression as 4*(2x^2+(1/2)x+1/4), and ... , ... but that is not really what you would want.

NOT simplifiable.