Simplify \( \sqrt{2} \times 2 \sqrt{2} \) 2 \( 2 \sqrt{2} \) \( 3 \sqrt{2} \)
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To simplify \( \sqrt{2} \times 2 \sqrt{2} \), we can first rearrange the terms. This gives us \( 2 \times \sqrt{2} \times \sqrt{2} \). Since \( \sqrt{2} \times \sqrt{2} = 2 \), we replace it in our expression: \[ 2 \times 2 = 4. \] After evaluating, we find that the simplified result is \( 4 \). Now let's check the options provided. None of the options \( 2 \), \( 2 \sqrt{2} \), or \( 3 \sqrt{2} \) seems to be correct. The simplified result is \( 4 \), which suggests there may have been an oversight in the answer choices!