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Math 010 Unit 6 Lesson 7

Math 010 Unit 6 Lesson 7. 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. Simplify the following:. 5 Ö 2 + 3 Ö 2. =. (5 + 3) Ö 2. =. 8 Ö 2. -7 Ö 2x + 3 Ö 2x. =.

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Math 010 Unit 6 Lesson 7

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  1. Math 010 Unit 6Lesson 7

  2. 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. Simplify the following: 5Ö2 + 3Ö2 = (5 + 3)Ö2 = 8Ö2 -7Ö2x + 3Ö2x = (-7 + 3)Ö2x = -4Ö2x cannot be simplified because the radicals do not have like radicands 8Ö2 + 7Ö3

  3. Simplify each of the following expressions: 4Ö8 – 10Ö2 4Ö4Ö2 – 10Ö2 = 8Ö2 – 10Ö2 = -2Ö2 = 8Ö18x – 2Ö32x 8Ö9Ö2x – 2Ö16Ö2x = 24Ö2x – 8Ö2x = 16Ö2x =

  4. Simplify each of the following expressions: 3Ö12x3 – 2xÖ3x = 3Ö4x2Ö3x – 2xÖ3x 6xÖ3x – 2xÖ3x = 4xÖ3x = 2aÖ8ab2 – 2bÖ2a3 = 2aÖ4b2Ö2a – 2bÖa2Ö2a 4abÖ2a – 2abÖ2a = = 2abÖ2a

  5. Simplify each of the following: 2xÖ8y – 3Ö2x2y + 2Ö32x2y – 3Öx2Ö2y 2xÖ4Ö2y + 2Ö16x2Ö2y = = 4xÖ2y – 3xÖ2y + 8xÖ2y = 9xÖ2y

  6. Simplify each of the following: 2Ö27a5 – 4aÖ12a3 + a2Ö75a 2Ö9a4Ö3a – 4aÖ4a2Ö3a + a2Ö25Ö3a = = 6a2Ö3a – 8a2Ö3a + 5a2Ö3a = 3a2Ö3a

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