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# Ex1Pt2Key - Math 17 TWHFW-7 1st Sem AY 2010-11 Exercise 1...

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Math 17 TWHFW-7 1 st Sem AY 2010-11 Exercise 1 Part II Answer Key Solutions to Set 1 Part II. Again, solutions are not absolute. There may be other ways to arrive at the same final answer. 1. parenleftBigg 5 + 2 5 5 - 2 5 + 5 - 2 5 5 + 2 5 parenrightBigg parenleftbigg 1 6 - 1 parenrightbigg = parenleftBigg ( 5 + 2 5 ) 2 + ( 5 - 2 5 ) 2 ( 5 - 2 5 )( 5 + 2 5 ) parenrightBigg parenleftbigg 1 6 - 1 parenrightbigg = parenleftBig 25 + a8 a8 a8 20 5 + 20 parenrightBig + parenleftBig 25 - a8 a8 a8 20 5 + 20 parenrightBig 25 - 20 parenleftbigg 1 6 - 1 parenrightbigg = parenleftbigg 90 5 parenrightbiggparenleftbigg 1 6 - 1 parenrightbigg = (18) parenleftbigg 1 6 - 1 parenrightbigg = 18 6 - 1 · 6 + 1 6 + 1 = 18 ( 6 + 1 ) 6 - 1 = 18 + 18 6 5 1

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2. 5 3 radicalBig 3 4 + 3 - 2 · 3 radicalBig 3 16 + 3 4 + 2 + 15 32 - 4 ( 1 2 ) 2 3 = 5 3 radicalbigg 3 2 2 + a8 a8 a8 a42 - 1 3 - 1 3 2 · 3 radicalBig 3 2 4 + 3 2 2 + 2 + 15 2 5 - 2 2 ( 2 - 1 ) 2 3 = 5 3 radicalBig (2 2 ) 1 3 - (2) 1 3 · 3 radicalBig (2 4 ) 1 3 + (2 2 ) 1 3 + 2 + ( 2 5 ) 1 15 - 2
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