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Question:

How do you preform the indicated?

7(3-i). 2i(5+3i). 7+ sqrt3 -3(2+sqrt3). (3+sqrt5)^2. (7-3i)^2. 8+2 sqrt27x -2(7- sqrt48x).

Answer:

note: i^2=-1 7(3-i)=21-7i 7+sqrt3-3(2+sqrt3)= 7 + sqrt3 - 6 - 3sqrt3 ---------------------------= 1 - 2sqrt3 (3+sqrt5)^2= (3+sqrt5)(3+sqrt5)= 9 + 2(3sqrt5) + 5 --------------------------------------... + 6sqrt5 (7-3i)^2=(7-3i)(7-3i)=49-21i-21i+9i^2= ----------------------------= 49-42i+9(-1) so---- =40 - 42i
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