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Math 025 Section 10.1 Radicals

Math 025 Section 10.1 Radicals. Square root. Square root. Perfect square. Perfect square. 1. 81. Ö 1 = 1. Ö 81 = 9. 4. 100. Ö 4 = 2. Ö 100 = 10. 9. 121. Ö 9 = 3. Ö 121 = 11. 16. 144. Ö 16 = 4. Ö 144 = 12. 25. 169. Ö 25 = 5. Ö 169 = 13. 36.

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Math 025 Section 10.1 Radicals

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  1. Math 025 Section 10.1Radicals

  2. Square root Square root Perfect square Perfect square 1 81 Ö1 = 1 Ö81 = 9 4 100 Ö4 = 2 Ö100 = 10 9 121 Ö9 = 3 Ö121 = 11 16 144 Ö16 = 4 Ö144 = 12 25 169 Ö25 = 5 Ö169 = 13 36 196 Ö36 = 6 Ö196 = 14 49 225 Ö49 = 7 Ö225 = 15 64 Ö64 = 8

  3. Simplified radical form No factor inside the radical should be a perfect square. Ö18 = Ö2 = 3 Ö2 Ö9 Ö108 = Ö3 = 6 Ö3 Ö36 3Ö96 = Ö6 = 12 Ö6 3Ö16

  4. Simplifying variable radical expressions A variable with an even exponent is a perfect square Öx6 = x3 Öx15 = Öx = x7 Öx Öx14 4 Öx9 = 4 Öx = 4x4 Öx Öx8

  5. Simplifying radical expressions Simplify each of the following Ö16x7 = Öx 4x3 = Öx Ö16x6 5xÖx3y4 = Öx = 5x2y2 Öx 5x Öx2y4 Ö96x5y7 = Ö6xy = 4x2y3 Ö6xy Ö16x4y6

  6. Simplifying radical expressions Simplify each of the following Ö81(x – 2)2 9(x – 2) = 9x – 18 = Ö x2 + 6x + 9 ( ) = = x + 3 Ö(x + 3)2

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