UPSKILL MATH PLUS

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