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Simplify.
1. 2.
3. 4. 5.
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Section 5.6 Radical Expressions
Simplify:
28
81
32
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VariablesSimplify:
x5 =
3 x10 =
4 x11y15 =
5
Numbers and VariablesSimplify:
24a3b2 =
3 40x3y5 =
12m2n =
3 3 6 9n2 3 24n =
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Like Terms
+ =
+ =
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Like Terms...in Algebra
2x + 5y + 7x + 8y =
4x2 + 5y + 7x3 + 9y =
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Like Terms...in Algebra ...with Radicals
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ADD/SUBTRACT Radical Expressions:
*Must be "like" radicals to add or subtract*The index number & the radicand must be the same to be "like" terms*Don't change the radical add or subtract the numbers in front
Like or Unlike?
2 4 + 5 43 3
3 + 421 21
6x 5 + 4x 5x
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ADD/SUBTRACT Radical Expressions:
*Simplify each term before adding or subtracting!
Examples:
4 + 3 5 + 7 + 2 5
4 27 + 3 3 48
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MULTIPLY Radical Expressions:
*Multiply what's under the radical; then simplify
Examples:
10x2y * 40xy3
12m2n * 6mn2
6 3 * 3 3 9n2 24n
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MULTIPLY Radical Expressions:
*Use the FOIL method
Examples:
(3 + 2)( 10 + 5)
(2 3 + 4 5)( 3 6 5)
(5 3)(5 + 3)
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