2007 paul dawkins 18

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Unformatted text preview: number example. 5 = 25 = 9 + 16 ¹ 9 + 16 = 3 + 4 = 7 If we “break up” the root into the sum of the two pieces we clearly get different answers! So, be careful to not make this very common mistake! We are going to be simplifying radicals shortly so we should next define simplified radical form. A radical is said to be in simplified radical form (or just simplified form) if each of the following are true. 1. 2. 3. 4. All exponents in the radicand must be less than the index. Any exponents in the radicand can have no factors in common with the index. No fractions appear under a radical. No radicals appear in the denominator of a fraction. © 2007 Paul Dawkins 18 http://tutorial.math.lamar.edu/terms.aspx College Algebra In our first set of simplification examples we will only look at the first two. We will need to do a little more work before we can deal with the last two. Example 3 Simplify each of the following. y7 (a) (b) 9 [Solution] x6 [Solution] 18 x 6 y11 [Solution] (c) (d) 4 32 x9 y 5 z12 (e) 5 x12 y...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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