Powers, Roots, and Radicals

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7.3Warm-Up
Multiply Review of FOIL
1. (x 4)(x 4) 2. (5x 4)(3x 2)
3. (x 5)2
x2 16
15x2 2x 8
x2 10x 25
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7.3 Binomial Radical Expressions
Objective To learn how to add, subtract,
multiply and divided radical expressions.
State Standard 15.0 Students will be able to
solve radical expressions.

Like radicals are radicals expressions that
have the same root outside and same terms
inside. Must be Exactly the same
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Example 1 Add or Subtract if possible.
a. 7 xy 3 xy b. 2
x 2 5
Not Possible

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Add or Subtract if possible.

• a. 2 7 3 7
• 7 5 2 5
• 4 xy 5 xy

Not Possible
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Example 3 Simplify before adding or subtracting.
3 20 45 4 80

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Simplify before adding or subtracting.
50 3 32 5 18
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Example 4 Multiply using FOIL.
a. (2 4 3 )(1 5 3 )
b. (3 7 )( 3 7 )

20(3)
2
2
9 7
8
Multiply.
a. (2 3 )(2 3 ) b.
(1 6 )( 1 6 )
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4
5
1 6