<u>Part</u><u> </u><u>(</u><u>a</u><u>)</u>

<u>Part</u><u> </u><u>(</u><u>b</u><u>)</u>

1) Write the number in exponential form with a base of 10:
3√1000 = 3√10^3
2) Reduce the index of radical and exponent with 3:
3√10^3=10
We have been given a graph that involves Real axis and Imaginary axis.
From that graph we have to choose correct line segment which joins complex numbers 2+2i and -1+3i.
We know that if complex number is (a+bi) then real part "a" is always plotted along x-axis and the imaginary part "b" is always plotted along y-axis just like point (a,b) on x-y graph.
So 2+2i means point (2,2) on x-y graph which is at point B.
similarly -1+3i means point (-1,3) which will be at point A.
So the line segment joining them will be AB
Hence final answer is the line segment AB.