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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