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simplify radicals

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2 Answers

1.
    5i . 3i = -15
 
 2 .  -36
 
 3 .   -i
 
4 .  - 3i
 
5.  1/ ( 2 - i) =  ( 2 - i )  / ( 2 +i ) ( 2 -i) = 1/3( 2- i ) = 1/6 -1/3i
1. √(-25)√(-9) = (5i)(3i) = –15

2. (6i)^2 = (6i)(6i) = –36

3. 1/i = i/i^2 = –i

4. – √(3)√(-3) = – √(3) i√(3) = –3i

5. 1/(2–i) = (2+i)/((2+i)(2–i)) = (2+i)/5 = 2/5 + 1/5 i

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