Worksheet #15: Simplifying, Solving and Graphing with Radicals - Edubirdie

University:
Highline College
Course:
MATHP 141 | Precalculus I Plus Extra Support
Academic year:

2022
Views:

486

Pages:

1
Author:

Oliver Donovan

Workshop #15 1. Use the deﬁnition to simplify each radical, use the fact that for any real number y we have √ (a) 4 24 −1 √ (e) (b) x2 x2 √ √ 2 (c) 81x (f) 3 −27 x2 (d) 4 y 2 = |y| 2. Use the deﬁnition of the radical to simplify x2 − 10x + 25 3. Use the deﬁnition to simplify each radical (a) 3 8x9 y −3 (b) 5 x5 y 10 z −15 4. Use the fact that y 2 = |y| to solve the following, when applicable, graph your solutions on a number line √ 2 (a) x2 = 7 1 (d) x − 4 > 11 2 (2x + 1)2 = 10 (b) (e) (3x − 4)2 = 1 x2 − 14x + 49 < 8 (c) 5. Use a T-table to graph the following and ﬁnd the domain of each in interval notation. √ √ √ (b) x + 2 (a) x + 2 (c) x2 6. Use a T-table to graph the following and ﬁnd the domain of each in interval notation. (a) √ x−2 (b) √ 4 3x − 3 (c) √ 4 2x + 3

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