Simplifying Square Roots

Example 1

Simplify.

  1. a, b

  2. If each variable is nonnegative (not a negative number),

If each variable could be positive or negative (deleting the restriction “If each variable is nonnegative”), then absolute value signs are placed around variables to odd powers.

  • e

    If each variable is nonnegative,

  • f

    If each variable is nonnegative,

If each variable could be positive or negative, then you would write

  • g

    If each variable is nonnegative,

If each variable could be positive or negative, you would write

  • h

    If each variable is nonnegative,

If each variable could be positive or negative, you would write

  • i

    If each variable is nonnegative,

  • j

    If each variable is nonnegative,

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