Multiple choice

Factors of the quadratic expression $x^2+4\sqrt{2x}+6$ are ________________.

  1. $(x+\sqrt{2})(x+3\sqrt{2})$
  2. $(x-2)(x+3\sqrt{2})$
  3. $(x-\sqrt{2})(x+3\sqrt{2})$
  4. $(x+2)(x+3\sqrt{2})$
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AI explanation

The question likely intends to provide the expression x^2 + 4 times sqrt(2) times x + 6, so we proceed with factoring that trinomial. We look for two numbers that multiply to 6 and add to 4 times sqrt(2), which are sqrt(2) and 3 times sqrt(2). Therefore, the factors are (x + sqrt(2)) and (x + 3 times sqrt(2)).

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