Question

find the square root of the complex number 7+2i​

Answer 1

Answer:

We have,

7+24

i=x+iy

7+24i=x

2

−y

2

+2xyi

x

2

−y

2

=7,x

2

−

x

2

144

=7

x

4

−7x

2

−144=0

x

2

(x

2

−16)+a(x

2

−16)=0

x

2

=16

x=±y

∴x=

x

12

y=3,−3

∴x=4,y=3

x=−4,y=−3

7+24i

=±4±3i