Simplify the expression the root of negative nine over the quantity of three minus two i plus the quantity of one plus five i.

Solution:

Remember these complex formulas

1.

2. (a + b i) + (c +d i)=(a +c) + i(b+d), i.e real part should be added or subtracted to real part and imaginary part should be added or subtracted to imaginary part.

3.  ( a + b i)(a - bi)= a² + b²

4.

→So,

→3 - 2 i + 1 + 5 i= 4 + 3 i

→→→Rationalizing the Denominator i.e complex number

→

=

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step-by-step explanation: