12'2A Operations with Radical Expressions

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12.2A Operations with Radical Expressions
Multiplication
Algebra 1 Glencoe McGraw-Hill Linda
Stamper
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Radical expressions can be added or subtracted
only if the radicands are the same.
Radical expressions can be multiplied whether the
radicands are the same or different by using the
product property of radicals.
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To simplify radicals you may need to distribute
and then use the product property.
Write the non radical factor first in a term!
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Find the product.
Example 1
Example 2
Example 3
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Apply your FOIL skills when multiplying two
radical binomial expressions.
F
L
0
I
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Use FOIL if you do not remember special products.
Sum and Difference
Square of a Binomial
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The Square of a Binomial Pattern
When a binomial is squared (multiplied times
itself), the result is the sum of the squares of
the two terms along with twice their product as
the middle term.
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The Square of a Binomial Pattern
(a b) (a b)
The SUM of a and b times the SUM of a and b.
a2 ab ab b2
After FOIL, there are identical middle terms
The result is the square of a, the square of b,
and two times the product of a and b.
a2 2ab b2
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Use FOIL if you do not remember special products.
Sum and Difference
Square of a Binomial
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Find the product.
Example 4
Example 5
Using FOIL
This is not because the 19 does not have a .
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Example 6 Find the area of the rectangle in
simplest form.
Example 7 Find the area of the rectangle in
simplest form.
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Example 6 Find the area of the rectangle in
simplest form.
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Example 7 Find the area of the rectangle in
simplest form.
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Find the product.
Example 8
Example 9
Example 10
Example 11
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Find the product.
Example 8
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Find the product.
Example 9
Multiply the terms and then double it.
Square of a Binomial
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Find the product.
Example 10
Middle terms cancel.
Sum and Difference
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Find the product.
Example 11
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Homework
10-A6 Pages 538-540 23-31,65-70.