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Go step by step to reduce the radical. √48

Go step by step to reduce the radical. √48

Answer

To reduce the radical √48, follow these steps:

  1. Find the prime factorization of 48: 48 = 2 × 2 × 2 × 2 × 3 = 24 × 3.
  2. Pair the factors: (2 × 2) × (2 × 2) × 3 = 4 × 4 × 3.
  3. Take the square root of each pair: √(4) × √(4) × √(3) = 2 × 2 × √3.
  4. Simplify: 4√3.

Thus, √48 simplifies to 4√3.

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