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Math 010 Unit 6 Lesson 7

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Radical expressions can only be combined by addition or subtraction if they have like radicands. The Distributive Property can be used to simplify such expressions. 5 2 + 3 2 = (5 + 3) 2 = 8282 -7 2x + 3 2x = (-7 + 3) 2x = -4 2x 8 2 + 7 3 cannot be simplified because the radicals do not have like radicands Simplify the following:

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4 8 – 10 2 = = 8 2 – 10 2-2 2 8 18x – 2 32x = = 24 2x – 8 2x16 2x Simplify each of the following expressions: = 4 4 2 – 10 2 = 8 9 2x – 2 16 2x

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3 12x 3 – 2x 3x = = 6x 3x – 2x 3x4x 3x Simplify each of the following expressions: = 3 4x 2 3x– 2x 3x 2a 8ab 2 – 2b 2a 3 = = 4ab 2a – 2ab 2a 2ab 2a = 2a 4b 2 2a– 2b a 2 2a

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Simplify each of the following: 2x 8y – 3 2x 2 y + 2 32x 2 y = 4x 2y – 3x 2y + 8x 2y = 9x 2y = 2x 4 2y – 3 x 2 2y + 2 16x 2 2y

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Simplify each of the following: 2 27a 5 – 4a 12a 3 + a 2 75a = 6a 2 3a – 8a 2 3a + 5a 2 3a = 3a 2 3a = 2 9a 4 3a– 4a 4a 2 3a+ a 2 25 3a

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