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7.1 guided notes key

# 7.1 guided notes key - e Find all the square roots of 0 f...

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Algebra II – guided notes 7.1 Name: _____________________ DIRECTIONS: Read pages 363-365 in your book and fill in this handout. When you are done, try the sample problems on the back. This will count as a class-work assignment. I. Roots and Radical Express Since 25 5 2 = , 5 is a square root of 25. Since 125 5 3 = , 5 is a _______ root of 125. Since 625 5 4 = , 5 is a _________ root of 625 Since 3125 5 5 = , 5 is a ________root of 3125. Definition of n th root – For any real numbers a and b , and any positive ____________ n if _________, then a is an __________ of b . What is the positive square root of 10? _______ What is the negative square root of 10? _____ Type of number Number of real n th roots when n is even Number of real n th roots when n is odd. Positive 0 Negative How many real square roots will -0.008 have? _____ How many real cube roots will 34 have? ____ II. Find all the real roots for each a) Find all the cube roots of 0.008, -1000, and 27 1 b) Find all the square roots of 81 16 c) Find all the fourth roots of 1 d) Find all the fifth roots of -32

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Unformatted text preview: e) Find all the square roots of 0 f) Find all the 4 th roots of 81 *A radical sign is used to indicate a root. The number under the radical sign is called _______________. *The _________gives the degree of the root. *When a number has two real roots, the positive root is called the _______________ and the radical sign indicates the principal root. So that means the principal 4 th root of 16 is written as __________. The other 4 th root of 16 is written as ___________. III. Find each real-number root a) 3 8 b) 100-c) 3 27-d) 4 81-Give an x value for which the following is true x x = 2 . True for x = ____ Give an x value for which the following is false x x = 2 . False for x = ____ IV. n th root of n a , when a is negative a a n n = when n is even. Simplify each a) 5 5 x b) 6 6 ) 2 (-c) 49 d) 6 4 x e) 3 6 3 b a f) 4 8 4 y x g) 4 2 4 y x h) 3 6 27 z-i) 4 12 8 16 y x j) 10 9 x k) 3 3 3 b a l) 4 10 16 y x...
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7.1 guided notes key - e Find all the square roots of 0 f...

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