mac1140_lecture6_1

mac1140_lecture6_1 - L6 1.7 Radical Expressions Example....

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46 L6 §1.7 Radical Expressions Example . Compare: 2 (8 ) = 2 8 = Caution! It is not true that 2 x x = or 2 x x ; however, there is a cancellation rule that works for radicals and exponents: n is even n n aa = n is odd n n = Thus , 2 xx = (compare with () 2 = ) and 3 3 = (compare with ( ) 3 3 = ). Example . Simplify each expression: a) 4 4 3 b ) ( ) 4 4 3 c) 6 6 2 d ) 5 5 4 e) 3 3 7 f ) 5 5 (3 ) z
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47 f) 4 4 () x y + g) 4 (2 ) x + h) 2 169 26 1 x x ++ When working with radicals, we will assume that all variables in radicands represent nonnegative numbers. Rules for Exponents: Rules for Radicals: 1 n ab = n ab = 1 n a b ⎛⎞ = ⎜⎟ ⎝⎠ n a b = 0 b 1 1 m n a = m n a = km kn a = kn km a =
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48 Example . Simplify each expression. a) 10 40 b) 2 3 64 c) 3 4 d) 12 9 16 e) Suppose the cost to produce x units is given by 2 3 ( ) .05 75 1200 Cx x x =− + + Find the cost to produce 729 units.
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49 Simplifying Radicals: 1. Simplify the radicand where it is appropriate. 2. Take out of the radical all possible factors so that the factors left in the radicand have smaller exponents than the index of the radical*.
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This note was uploaded on 02/29/2012 for the course MAC 1140 taught by Professor Gregory during the Fall '11 term at Broward College.

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mac1140_lecture6_1 - L6 1.7 Radical Expressions Example....

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