Simplifying Square Roots

Example 1

Simplify.

  1. a, b

    equation

  2. equation

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

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.

equation

  • e

    If each variable is nonnegative, equation

  • f

    If each variable is nonnegative, equation

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

  • g

    If each variable is nonnegative, equation

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

  • h

    If each variable is nonnegative, equation

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

  • i

    If each variable is nonnegative, equation

  • j

    If each variable is nonnegative, equation