Evaluate the complex number square root: √-2 + 6i

The square root of a complex number a + bi, is denoted as root_{1}= x + yi and root_{2}= -x - yi

r = √a

r = √-2

r = √4 + 36

r = √40

r = 6.8

y = √½(r-a)

y = √½(6.8 - -2)

y = √½(8.8)

y = √4.4

y = 2.6

x = | b |

2y |

x = | 6 |

2(2.6) |

x = | 6 |

4.1 |

x = 3

Root 1 =

Root 2 =