Math, asked by aishwarya1885, 3 months ago

find the square root of-47+8√3i of complex number

Please solve this urgently​

Answers

Answered by lBEINGLEGENDl
0

Answer:

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Answered by poulveldandi
0

Step-by-step explanation:

±

2

1

(3+i)

Let

−4−3i

=a+ib

−4−3i=a

2

−b

2

+2aib

a

2

−b

2

=−4,ab=

2

−3

ab=

2

−3

⇒b=

2a

−3

a

2

−b

2

=−4⇒a

2

4a

2

9

=−4

4a

4

−9=−16a

2

4a

4

+16a

2

−9=0

4a

4

+18a

2

−2a

2

−9=0

2a

2

(2a

2

+9)−1(2a

2

+9)=0

a=±

2

1

,a=±i

2

3

b=±

2

3

,b=±

2

1

Therefore,

−4−3i

2

1

(1+3i)

or ±

2

1

(3+i)

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