Simplify. \( -\sqrt{8}-3 \sqrt{18} \) \( \square \)
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To simplify \( -\sqrt{8}-3 \sqrt{18} \), we start breaking down the square roots. First, \( \sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2} \). Next, \( \sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \cdot \sqrt{2} = 3\sqrt{2} \). Now substituting these values into the expression gives us: \[ -\sqrt{8} - 3\sqrt{18} = -2\sqrt{2} - 3(3\sqrt{2}) \] This simplifies further to: \[ -2\sqrt{2} - 9\sqrt{2} = -11\sqrt{2} \] Thus, the simplified result is \( -11\sqrt{2} \).