To simplify the expression (5sqrt(5) * (2 - 4sqrt(6)))/2, we can follow these steps:
Step 1: Distribute the multiplication:
(5sqrt(5) * 2) - (5sqrt(5) * 4sqrt(6)) / 2
Step 2: Simplify each term separately:
10sqrt(5) - (20sqrt(5)sqrt(6)) / 2
Step 3: Combine like terms:
10sqrt(5) - 10sqrt(5)sqrt(6)
Step 4: Factor out common term:
10sqrt(5)(1 - sqrt(6))
(5sqrt(5) * (2 - 4sqrt(6)))/2
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