Question 431778
1.what is the product of the complex numbers (3+i) and (3-i)?
= {{{3^2 - i^2 = 9 -(-1) = 10}}}
---------------
2.If i=the square root of _1,show the location of 5_2i on a graph?
I think you mean -1, not underscore 1.
Usually the i-axis is the direction of the y-axis on x-y plots, so it would bt 5 to the right and 2 up, or (5,2) in x-y systems.
---------------
3. what is the value of i the power of 4?
{{{i^4 = (i^2)^2 = (-1)^2 = 1}}}
----------------
4.If a and b are non-zero numbers,what is 1/(a+bi)
Multiply NUM and DEN by the conjugate of the DEN a-bi
1/(a+bi) = (a-bi)/(a^2 + b^2)