Simplify; (frac{1}{2}sqrt{32} – sqrt{18} sqrt{2})

Simplify; (frac{1}{2}sqrt{32} – sqrt{18} sqrt{2})
  • A.
    zero
  • B.
    (sqrt{2})
  • C.
    2(sqrt{2})
  • D.
    4(sqrt{2}
Correct Answer: Option A
Explanation

(frac{1}{2}sqrt{32} – sqrt{18} sqrt{2}) = (frac{1}{2} (4sqrt{2}) – 3sqrt{2} + sqrt{2})
= 2(sqrt{2} – 3sqrt{2} + sqrt{2})
= 3(sqrt{2} – 3sqrt{2} – 3sqrt{2}) = 0

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