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Algebra II Honors Problem of the Day Homework: p. 33 9 – 11 all, 33-41 all

Algebra II Honors Problem of the Day Homework: p. 33 9 – 11 all, 33-41 all. Given that x is a member of the set of real numbers, name all x that satisfy each of the following equations. Principal Roots for Radicals.

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Algebra II Honors Problem of the Day Homework: p. 33 9 – 11 all, 33-41 all

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  1. Algebra II Honors Problem of the Day Homework: p. 33 9 – 11 all, 33-41 all Given that x is a member of the set of real numbers, name all x that satisfy each of the following equations.

  2. Principal Roots for Radicals When a radical has an even index there are two possible solutions. One positive and one negative. When a radical has an odd index there is only one possible solution.

  3. Use absolute value symbols on variables when simplifying radical expressions if: The radical has an even index and the variable that is in the solution has an odd exponent.

  4. Algebra II Honors Problem of the Day Homework: p. 33 12, 23-32 all 61-65 all Simplify the following:

  5. Rules for Simplifying Radicals (note: if n is even, ab must be positive so that an answer is possible)

  6. You might not need to write all of the steps out. Keep in mind you are trying to make sure you don’t leave perfect nth roots inside the radical.

  7. A rule similar to the first one applies to fractions. Reduce fractions before simplifying. Do the parts individually if the fraction doesn’t reduce

  8. No radicals are allowed in the denominator. Rationalizing the denominator: where r + s = n

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