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Quiz Chapter 11 review. 11-1 Simplifying radicals. Do a factor tree and look for pairs. The pair comes out as one couple, and the lone wolf stays in the house (the radical). Simplifying radicals involving multiplication

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11 1 simplifying radicals
11-1 Simplifying radicals

  • Do a factor tree and look for pairs. The pair comes out as one couple, and the lone wolf stays in the house (the radical).

  • Simplifying radicals involving multiplication

    Multiply the numbers under the radical signs then simplify the radicals.

  • The same applies if there are variables under the radical symbols.

  • If you are dividing, simplify the fraction before you proceed with simplifying the radical expression.



11 2 operations with radical expressions
11-2 operations with radical expressions rationalize the denominator before you proceed with the fraction. Which means you have to multiply the fraction by some form of one (use the denominator over itself)

  • Combining like radicals, if you are adding or subtracting radicals they must have the same radicals or you can not combine them.

  • You may have to simplify radicals to see if they are the same radicals then combine them if they are the same. Otherwise you may not combine them.

  • If you have a radical on the outside of a parenthesis, you can distribute it to the inside of the parenthesis if ask to do so.


  • You may use FOIL if you are given two binomials that contain radicals. Remember that if you are multiplying two radicals that have the same number under the radical sign then the number is the answer. You cannot multiply a number under a radical with a number without a radical sign.

  • You may have to use a conjugate to rationalize the denominator of a fraction.

  • Practice problems Page 625 1-6all, 10-33all, 38-46all


  • Task 7 HW7 radicals. Remember that if you are multiplying two radicals that have the same number under the radical sign then the number is the answer. You cannot multiply a number under a radical with a number without a radical sign.

  • Page 744 1-21all


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