Warm Up ... Simplify Hint: Review your exponent rules!
1) x2 x3 2) (2x3y0)4 Apr 241:42 PM
Simplifying and Multiplying Radical Expressions
Apr 184:32 PM
1
Simplify and Multiplaying Radicals.notebook
December 16, 2015
You will be able to: Simplify radical expressions Multiply radical expressions
Apr 184:33 PM
Any expression containing a radical is called a radical expression
Radical Sign
x
Index
Radicand
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2
Simplify and Multiplaying Radicals.notebook
3
4
x x x
December 16, 2015
= Square Root = Cubed Root
= 4th Root
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To Simplify the Radicand (inside): 1. Find the prime factorization of the radicand
2. Anywhere there is a number or a variable THE NUMBER OF TIMES OF THE INDEX put ONE of them on the outside and drop the REST on the inside May 218:33 AM
3
Simplify and Multiplaying Radicals.notebook
December 16, 2015
Example:
20 √
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Example:
4
2√54
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4
Simplify and Multiplaying Radicals.notebook
December 16, 2015
Whiteboards:
3
√60 3 √ 68
√ 24 4
√
972
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Example:
b 20a √
3 2
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5
Simplify and Multiplaying Radicals.notebook
December 16, 2015
Example:
3y
5
3
√16y z
8 2
May 218:39 AM
Whiteboards:
b√ 8b
3
3
108a b √
16 9
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6
Simplify and Multiplaying Radicals.notebook
December 16, 2015
Whiteboards:
4bx
2
4
√ 162x b
5 11
3
9d √ 640r d 5
17 4
May 218:39 AM
Multiplying Radicals Multiply the numbers inside, and then simplify the radicand (Both radicals must have the SAME index to be multiplied together)
May 228:47 AM
7
Simplify and Multiplaying Radicals.notebook
Example: 4
3√16a b
5 3
December 16, 2015
4
15a √
10
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White boards:
√50x y √ 6xy 3 2 3 15 √45x y √ 3x y 7 7
4
May 228:53 AM
8
Simplify and Multiplaying Radicals.notebook
December 16, 2015
White boards: 3
3
√10x y √ 3x y 3 21 30 √625x √ 2x y 4
8
12 6
4
May 228:53 AM
Multiplying Radical Expressions: Distribute or use the box method NOTE: a a = a
Page 2 of 11. Simplify and Multiplaying Radicals.notebook. 2. December 16, 2015. Apr 184:33 PM. You will be able to: Simplify radical expressions. Multiply radical expressions. May 218:28 AM. x. Radical Sign. Radicand. Any expression. containing a radical is. called a radical. expression. Index. Page 2 of 11 ...
Simplify each expression. / wavowel la2 Tew-S. 1. 3,7+5V7 2. 10.4-k4. Find the exact perimeter of the following triangle. Find the exact perimeter of the following triangle given the coordinates. A (4,-3), B (-7, 8), C (2, -6). A2, Å¿ie P : Joya Å¿o
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