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Go step by step to reduce the radical. √48 / (√4 · √12)

Go step by step to reduce the radical. √48 / (√4 · √12)

Answer

To reduce the radical expression √48 / (√4 · √12), follow these steps:

  1. Simplify each square root separately:
  • √48 = √(16 · 3) = √16 · √3 = 4√3
  • √4 = 2
  • √12 = √(4 · 3) = √4 · √3 = 2√3
  • Substitute the simplified forms back into the expression:
    • (4√3) / (2 · 2√3)
  • Simplify the expression:
    • (4√3) / (4√3) = 1

    The reduced form of the expression is 1.

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