Question

Q. Find the square root of 2-2√3i
​

Answer 1

Answer:

the correct answer is 58

Answer 2

Answer:

le (2+2

3

i)

1/2

=x+iy

sq. both side

2+2

3

i=x

2

−y

2

+2xyi

⇒x

2

−y

2

=2−−−−(i) & xy=

3

−−−−(ii)

we know

(x

2

+y

2

)

2

=(x

2

−y

2

)

2

+(2xy)

2

=2

2

+(2

3

)

2

=16

x

2

+y

2

=4−−−−(iii)

Solve (i) & (iii) from (2) & (iii)

2x

2

=16 2xy=2

3

x=±

3

x=±

3

∴ ⇒y=±1

Then,

(2+2

3

i)

1/2

=±(

3

+i)

Step-by-step explanation:

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