Question:

Simplifying Expressions. Easy 10 points.?

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Simplify each expression.

Square Root of -4 + Square Root of -16 + Square Root of -1

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  1. srqt of (-4) = 2 sqrt.(-1)

    srqt of (-16) = 4 sqrt.(-1)

    srqt of (-1) = sqrt.(-1)

    by addition

                     7sqrt,(-1) but  sqrt,(-1 ) = i

    therefore = 7i  


  2. Square Root of -4 is equal to 2 times Square Root of -1

    Square Root of -16 is equal to 4 times Square Root of -1

    Now we can factorize the Square Root of -1 and in round brackets we may add (2 +4 + 1) = 7. Finally expression would be 7 times square root of -1. If we put under the square root 7, we would have square root of - 49.  

  3. √-4 + √-16 + √-1

    √ -1  = i

    subsitute that

    i√4+i√16+i√1

    2i+4i+i  =    7i   = 7√-1


  4. -2+(-4)+1=-5

    -5 easy

  5. Square Root of -4 + Square Root of -16 + Square Root of -1

    = sqrt (4i^2) + sqrt (16i^2) + sqrt(i^2)  

           [ i = complex number = sqrt (-1), i^2 = -1]

    = [(+) or (-)] * (2i + 4i + i)

    =  [(+) or (-)] *7i

  6. looks hard

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