Find the two square root of 1 Squareroot 3 iSolutionTo find

Find the two square root of -1 + Squareroot 3 i

Solution

To find the square root of a complex number, use the following equation:
Square root (a + bi) = c + di
Where:
c = (1/square root of 2) x square root of [ (square root of(a2+b2)) + a ]
d = (sign of b/square root of 2) x square root of [ (square root of(a2+b2)) - a ]

Square root (-1 + 3i) = c + di

c = (1/2) x sqrt[ (sqrt(1 + 3)) - 1 ] = (1/2)
d = (+1/2) x sqrt[ (sqrt(1 + 3)) + 1 ] = 1.5 = 1.225