SOLUTION: Simplify square root of -16 - the square root of 3 times the square root of 3 - the square root of -4 times the square root of -4 + 3i - 3i^2 + 3i^3

Algebra ->  Algebra  -> Square-cubic-other-roots -> SOLUTION: Simplify square root of -16 - the square root of 3 times the square root of 3 - the square root of -4 times the square root of -4 + 3i - 3i^2 + 3i^3      Log On

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Question 65725This question is from textbook An Incremental Development
: Simplify
square root of -16 - the square root of 3 times the square root of 3 - the square root of -4 times the square root of -4 + 3i - 3i^2 + 3i^3
This question is from textbook An Incremental Development

Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify
square root of -16
=4I
- the square root of 3 times the square root of 3
=-[SQRT(3*3)]
=-3
- the square root of -4 times the square root of -4
=-(2I)(2I)
=-4I^2
=-4(-1)
=4
+ 3i - 3i^2 + 3i^3
=3I-3(-1)+3I(I^2)
=3I+3-3I
=3
Simplify
=4I-3+4+3
=4I+4

square root of -16 - the square root of 3 times the square root of 3 - the square root of -4 times the square root of -4 + 3i - 3i^2 + 3i^3