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18x2 +12x + 2 this is not a perfect square trinomial so let's work a little bit here.

18x2 +12x + 2 factor 2

= 2(9x2 +6x + 1)

= 2(3x + 1)2 represent 2 as (√2)2

= (√2)2(3x + 1)2

= [(√2)(3x + 1)]2 take its square root

= (√2)(3x + 1) for all x > -1/3.

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Q: What is the square root of 18x squared plus 12x plus two?
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