Explain why proposed solutions of radical equations must be checked.

Can you help me understand this Algebra question?

  1. Explain why proposed solutions of radical equations must be checked.
  2. Consider the equations square root of 2 x end root equals 4 and cube root of 2 x end root equals 4 .
    a. Explain the difference in solving these equations.
    b. Explain the similarity in solving these equations.

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