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Express √1008 in the form of a mixed surd.
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Solution: Step 1: Factorize 1008 into its prime factors. Step 2: 1008 = 2×504 = 2×2×252 = 2×2×2×126 = 2×2×2×2×63 = 2×2×2×2×7×9 = 24×7×32 Step 3: Take the square root: √1008 = √(24×7×32) Step 4: Simplify by taking out squares: = 4×3×7 = 12×7 Step 5: Therefore, √1008 as a mixed surd is 12√7.
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