Question

what is complex square root of 1+4root3i​

Answer 1

Answer:

the complex root will be 3.5695

Answer 2

Answer:

We can solve this problem using the folloing:

(a±bi)

2

=(a

2

−b

2

)±2abi

∴

(a±bi)

2

=a±bi=

(a

2

−b

2

)±2abi

(i)

1+4

3

i

=1.99+i1.73

1+4

3

i

=1.99+i1.73

(ii)

3+2

10

i

=2.23+i1.41

3+2

10

i

=2.23+i1.41

(iii)

2(1−

3

i)

2−2

3

i

=1.729−i0.998

2(1−

3

i)

=1.729−i0.998