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(" iii ")(3+sqrt(5)-2sqrt(2))(" iv ")(1)...

(" iii ")_(3+sqrt(5)-2sqrt(2))(" iv ")(1)/(sqrt(6)+sqrt(5)-sqrt(11))

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Simplify each of the following expressions: (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)-sqrt(2))^(2) (iv) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

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(1)/(sqrt(2)+sqrt(3)-sqrt(5))+(1)/(sqrt(2)-sqrt(3)-sqrt(5))

1/(sqrt(2)+sqrt(3)+sqrt(5))+1/(sqrt(2)+sqrt(3)-sqrt(5))