7.7 Operations with Radicals.  A or of radicals can be simplified using the following rules.  1. Simplify each in the sum.  2. Then, combine radical.

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Presentation transcript:

7.7 Operations with Radicals

 A or of radicals can be simplified using the following rules.  1. Simplify each in the sum.  2. Then, combine radical terms containing the same and. sumdifference radical index radicand

Simplify. 1.2.

Simplify. 3.4.

Simplify. 5.6.

 To rationalize a denominator containing two terms, we need to multiply the numerator and denominator by the of the denominator.  Conjugates of radical expressions involve the sum or difference of the same two terms.  Example: and conjugate

How Does This Work??  Multiply the conjugates below:

Multiplying Conjugates *Think difference of squares!

Simplify

 We use this idea to rationalize a denominator because it gets rid of the. radical

Simplify. 9.

Simplify. 10.

Simplify. 11.

Simplify. 12.