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Write the expression in terms of i and simplify. √-24 =

Write the expression in terms of i and simplify.
√-24 =

Answer

The expression √-24 can be written in terms of i as follows:

  1. First, express -24 as a product of -1 and 24: √(-1 * 24).
  2. Separate the square root: √-1 * √24.
  3. Since √-1 = i, the expression becomes i√24.
  4. Simplify √24: √24 = √(4 * 6) = √4 * √6 = 2√6.
  5. Thus, the expression in terms of i is: 2i√6.

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