Warm up Notes Preliminary Activity Activity For Fun Surds

Back Review Quiz Simplify the following 1. 2. 3. 4. Answers

Back A pair of conjugate surds are a binomial product where each factor has the same numbers as the terms however the sign between each term is opposite. When we multiply a pair of conjugate surds we always get a rational number. Example. (5 - √2)(5 + √2) = 52 - 2 = 23 When a fraction has a surd as its denominator we simplify the fraction by rationalising the denominator. We do this by multiplying the denominator and numerator by the same surd, or if the denominator is binomial, then we multiply by the conjugate. Examples 8 = 8 x √2 = 8√2 √2 √2 √2 2 = 4√2 3 = 3 x √5 + 2 √5 - 2 √5 - 2 √5 + 2 = 3(√5 + 2) (√5 - 2)(√5 + 2) = 3√5 + 6

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Complete the following exercises 2.18 Q 2 page 34 Back Complete the following exercises 2.18 Q 2 page 34 2.19 Q 1, 6, 11, 16, 17, 18, 19, 20 page 35 2.20 Q 1, 6, 11, 16, 18, 19, 20 ;page 36 2.21 all page 36 41.7% 56.3% 75.7%

Back $1 104 $1 096.50 $211.70 50.9% $17.25 8.5%

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