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

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Unformatted text preview: 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 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...
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Ex1Pt2Key - Math 17 TWHFW-7 1 st Sem AY 2010-11 Exercise 1...

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